Greatest Common Factor of 6557/869, 8744/8789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6557/869, 8744/8789

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 6557/869,8744/8789

Given fractions are 6557/869,8744/8789

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 6557,8744

Greatest Common Factor of Numerators i.e. GCF of 6557,8744 is 1 .

LCM of Denominators means LCM of 869,8789 as per the given fractions.

LCM of 869,8789 is 694331 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6557,8744

GCF of Fractions 6557/869,8744/8789 is 1/694331

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6557,8744 By Matching Biggest Common Factor Method

Greatest Common Factor of 6557,8744 By Matching Biggest Common Factor Method

Factors of 6557

List of positive integer factors of 6557 that divides 6557 without a remainder.

1,79,83,6557

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors 6557,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 6557,8744 is 1.


Lets's calculate LCM of 869,8789

11 869, 8789
79, 799

∴ So the LCM of the given numbers is 11 x 79 x 799 = 694331

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694331

Therefore, the GCF of Fractions 6557/869,8744/8789 is 1/694331

Least Common Multiple of 869,8789 with GCF Formula

Least Common Multiple of 869,8789 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 869,8789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,8789) = 11

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

GCF(869,8789) x common factors =11 x 1 = 11

LCM(869,8789) = ( 869 × 8789 ) / 11

LCM(869,8789) = 7637641 / 11

LCM(869,8789) = 694331


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6557/869, 8744/8789

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 6557/869, 8744/8789?

Answer: GCF of Numerators as per given numbers 6557/869, 8744/8789 is

GCF of Numerators i.e. for 6557,8744 is 1

LCM of denominators i.e. for 869,8789 is 694331.

Thus, GCF of Fractions is 1/694331.Finally, GCF of Fractions for 6557/869, 8744/8789 is 1/694331.