Greatest Common Factor of 640/10, 256/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/10, 256/222

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 640/10,256/222

Given fractions are 640/10,256/222

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 640,256

Greatest Common Factor of Numerators i.e. GCF of 640,256 is 128 .

LCM of Denominators means LCM of 10,222 as per the given fractions.

LCM of 10,222 is 1110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,256

GCF of Fractions 640/10,256/222 is 128/1110

2 640, 256
2 320, 128
2 160, 64
2 80, 32
2 40, 16
2 20, 8
2 10, 4
5, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Greatest Common Factor of 640,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,256 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 640,256 . The biggest common factor number is the GCF number.
So the greatest common factor 640,256 is 128.

Lets's calculate LCM of 10,222

2 10, 222
5, 111

∴ So the LCM of the given numbers is 2 x 5 x 111 = 1110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/1110

Therefore, the GCF of Fractions 640/10,256/222 is 128/1110

Least Common Multiple of 10,222 with GCF Formula

Least Common Multiple of 10,222 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 10,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,222) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(10,222) x common factors =2 x 1 = 2

LCM(10,222) = ( 10 × 222 ) / 2

LCM(10,222) = 2220 / 2

LCM(10,222) = 1110


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 640/10, 256/222

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 640/10, 256/222?

Answer: GCF of Numerators as per given numbers 640/10, 256/222 is

GCF of Numerators i.e. for 640,256 is 128

LCM of denominators i.e. for 10,222 is 1110.

Thus, GCF of Fractions is 128/1110.Finally, GCF of Fractions for 640/10, 256/222 is 128/1110.