Dontaviusjr08idn
Answered

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Find the GCF of 14x and 18xy​

Sagot :

Gangelucci17idn

Answer:

Step-by-step explanation:

Since

14

X

,

4

X

Y

,

−

18

X

Y

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for

14

X

,

4

X

Y

,

−

18

X

Y

2

:

1. Find the GCF for the numerical part

14

,

4

,

−

18

2. Find the GCF for the variable part

X

1

,

X

1

,

Y

1

,

X

1

,

Y

2

3. Multiply the values together

Find the common factors for the numerical part:

14

,

4

,

−

18

The factors for

14

are

1

,

2

,

7

,

14

.

Tap for more steps...

1

,

2

,

7

,

14

The factors for

4

are

1

,

2

,

4

.

Tap for fewer steps...

The factors for

4

are all numbers between

1

and

4

, which divide

4

evenly.

Check numbers between

1

and

4

Find the factor pairs of

4

where

x

⋅

y

=

4

.

x

y

1

4

2

2

List the factors for

4

.

1

,

2

,

4

The factors for

−

18

are

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

.

Tap for fewer steps...

The factors for

−

18

are all numbers between

1

and

18

, which divide

−

18

evenly.

Check numbers between

1

and

18

Find the factor pairs of

−

18

where

x

⋅

y

=

−

18

.

List the factors for

−

18

.

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

List all the factors for

14

,

4

,

−

18

to find the common factors.

14

:

1

,

2

,

7

,

14

4

:

1

,

2

,

4

−

18

:

−

18

,

−

9

,

−

6

,

−

3

,

−

2

,

−

1

,

1

,

2

,

3

,

6

,

9

,

18

The common factors for

14

,

4

,

−

18

are

1

,

2

.

1

,

2

The GCF for the numerical part is

2

.

GCF

Numerical

=

2

Next, find the common factors for the variable part:

X

,

X

,

Y

,

X

,

Y

2

The factor for

X

1

is

X

itself.

X

The factor for

Y

1

is

Y

itself.

Y

The factor for

X

1

is

X

itself.

X

The factors for

Y

2

are

Y

⋅

Y

.

Y

⋅

Y

List all the factors for

X

1

,

X

1

,

Y

1

,

X

1

,

Y

2

to find the common factors.

X

1

=

X

X

1

=

X

Y

1

=

Y

X

1

=

X

Y

2

=

Y

⋅

Y

The common factor for the variables

X

1

,

X

1

,

Y

1

,

X

1

,

Y

2

is

X

.

X

The GCF for the variable part is

X

.

GCF

Variable

=

X

Multiply the GCF of the numerical part

2

and the GCF of the variable part

X

.

2

X

Rkssmathsidn

Answer:

2x

Step-by-step explanation:

first find the GCF of 14 and 18

2

and then find the GCF of x and x

x

= 2x

hope it's helpful ❤❤❤❤

THANK YOU.

#

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