Greatest Common Factor of 957/975, 3180/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/975, 3180/602

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 957/975,3180/602

Given fractions are 957/975,3180/602

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 957,3180

Greatest Common Factor of Numerators i.e. GCF of 957,3180 is 3 .

LCM of Denominators means LCM of 975,602 as per the given fractions.

LCM of 975,602 is 586950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,3180

GCF of Fractions 957/975,3180/602 is 3/586950

3 957, 3180
319, 1060

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

Greatest Common Factor of 957,3180 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,3180 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 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180

Greatest Common Factor

We found the factors 957,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 957,3180 is 3.

Lets's calculate LCM of 975,602

Given numbers has no common factors except 1. So, there LCM is their product i.e 586950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/586950

Therefore, the GCF of Fractions 957/975,3180/602 is 3/586950

Least Common Multiple of 975,602 with GCF Formula

Least Common Multiple of 975,602 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 975,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,602) = 1

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

GCF(975,602) x common factors =1 x 1 = 1

LCM(975,602) = ( 975 × 602 ) / 1

LCM(975,602) = 586950 / 1

LCM(975,602) = 586950


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 957/975, 3180/602

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 957/975, 3180/602?

Answer: GCF of Numerators as per given numbers 957/975, 3180/602 is

GCF of Numerators i.e. for 957,3180 is 3

LCM of denominators i.e. for 975,602 is 586950.

Thus, GCF of Fractions is 3/586950.Finally, GCF of Fractions for 957/975, 3180/602 is 3/586950.