Greatest Common Factor of 5656/357, 7712/8858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5656/357, 7712/8858

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 5656/357,7712/8858

Given fractions are 5656/357,7712/8858

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 5656,7712

Greatest Common Factor of Numerators i.e. GCF of 5656,7712 is 8 .

LCM of Denominators means LCM of 357,8858 as per the given fractions.

LCM of 357,8858 is 3162306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5656,7712

GCF of Fractions 5656/357,7712/8858 is 8/3162306

2 5656, 7712
2 2828, 3856
2 1414, 1928
707, 964

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5656,7712 By Matching Biggest Common Factor Method

Greatest Common Factor of 5656,7712 By Matching Biggest Common Factor Method

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

Greatest Common Factor

We found the factors 5656,7712 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,7712 is 8.

Lets's calculate LCM of 357,8858

Given numbers has no common factors except 1. So, there LCM is their product i.e 3162306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3162306

Therefore, the GCF of Fractions 5656/357,7712/8858 is 8/3162306

Least Common Multiple of 357,8858 with GCF Formula

Least Common Multiple of 357,8858 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 357,8858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,8858) = 1

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

GCF(357,8858) x common factors =1 x 1 = 1

LCM(357,8858) = ( 357 × 8858 ) / 1

LCM(357,8858) = 3162306 / 1

LCM(357,8858) = 3162306


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 5656/357, 7712/8858

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 5656/357, 7712/8858?

Answer: GCF of Numerators as per given numbers 5656/357, 7712/8858 is

GCF of Numerators i.e. for 5656,7712 is 8

LCM of denominators i.e. for 357,8858 is 3162306.

Thus, GCF of Fractions is 8/3162306.Finally, GCF of Fractions for 5656/357, 7712/8858 is 8/3162306.