Greatest Common Factor of 957/196, 5589/6544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/196, 5589/6544

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 957/196,5589/6544

Given fractions are 957/196,5589/6544

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 957,5589

Greatest Common Factor of Numerators i.e. GCF of 957,5589 is 3 .

LCM of Denominators means LCM of 196,6544 as per the given fractions.

LCM of 196,6544 is 320656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,5589

GCF of Fractions 957/196,5589/6544 is 3/320656

3 957, 5589
319, 1863

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 957,5589 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,5589 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 5589

List of positive integer factors of 5589 that divides 5589 without a remainder.

1,3,9,23,27,69,81,207,243,621,1863,5589

Greatest Common Factor

We found the factors 957,5589 . The biggest common factor number is the GCF number.
So the greatest common factor 957,5589 is 3.

Lets's calculate LCM of 196,6544

2 196, 6544
2 98, 3272
49, 1636

∴ So the LCM of the given numbers is 2 x 2 x 49 x 1636 = 320656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/320656

Therefore, the GCF of Fractions 957/196,5589/6544 is 3/320656

Least Common Multiple of 196,6544 with GCF Formula

Least Common Multiple of 196,6544 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 196,6544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,6544) = 4

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

GCF(196,6544) x common factors =4 x 1 = 4

LCM(196,6544) = ( 196 × 6544 ) / 4

LCM(196,6544) = 1282624 / 4

LCM(196,6544) = 320656


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 957/196, 5589/6544

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 957/196, 5589/6544?

Answer: GCF of Numerators as per given numbers 957/196, 5589/6544 is

GCF of Numerators i.e. for 957,5589 is 3

LCM of denominators i.e. for 196,6544 is 320656.

Thus, GCF of Fractions is 3/320656.Finally, GCF of Fractions for 957/196, 5589/6544 is 3/320656.