Greatest Common Factor of 256/71, 688/6966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 256/71, 688/6966

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 256/71,688/6966

Given fractions are 256/71,688/6966

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 256,688

Greatest Common Factor of Numerators i.e. GCF of 256,688 is 16 .

LCM of Denominators means LCM of 71,6966 as per the given fractions.

LCM of 71,6966 is 494586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 256,688

GCF of Fractions 256/71,688/6966 is 16/494586

2 256, 688
2 128, 344
2 64, 172
2 32, 86
16, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 256,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,688 By Matching Biggest Common Factor Method

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

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 256,688 . The biggest common factor number is the GCF number.
So the greatest common factor 256,688 is 16.

Lets's calculate LCM of 71,6966

Given numbers has no common factors except 1. So, there LCM is their product i.e 494586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/494586

Therefore, the GCF of Fractions 256/71,688/6966 is 16/494586

Least Common Multiple of 71,6966 with GCF Formula

Least Common Multiple of 71,6966 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 71,6966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,6966) = 1

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

GCF(71,6966) x common factors =1 x 1 = 1

LCM(71,6966) = ( 71 × 6966 ) / 1

LCM(71,6966) = 494586 / 1

LCM(71,6966) = 494586


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 256/71, 688/6966

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 256/71, 688/6966?

Answer: GCF of Numerators as per given numbers 256/71, 688/6966 is

GCF of Numerators i.e. for 256,688 is 16

LCM of denominators i.e. for 71,6966 is 494586.

Thus, GCF of Fractions is 16/494586.Finally, GCF of Fractions for 256/71, 688/6966 is 16/494586.