Greatest Common Factor of 3957/966, 5295/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3957/966, 5295/897

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 3957/966,5295/897

Given fractions are 3957/966,5295/897

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 3957,5295

Greatest Common Factor of Numerators i.e. GCF of 3957,5295 is 3 .

LCM of Denominators means LCM of 966,897 as per the given fractions.

LCM of 966,897 is 12558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3957,5295

GCF of Fractions 3957/966,5295/897 is 3/12558

3 3957, 5295
1319, 1765

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

Greatest Common Factor of 3957,5295 By Matching Biggest Common Factor Method

Greatest Common Factor of 3957,5295 By Matching Biggest Common Factor Method

Factors of 3957

List of positive integer factors of 3957 that divides 3957 without a remainder.

1,3,1319,3957

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1,3,5,15,353,1059,1765,5295

Greatest Common Factor

We found the factors 3957,5295 . The biggest common factor number is the GCF number.
So the greatest common factor 3957,5295 is 3.

Lets's calculate LCM of 966,897

3 966, 897
23 322, 299
14, 13

∴ So the LCM of the given numbers is 3 x 23 x 14 x 13 = 12558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12558

Therefore, the GCF of Fractions 3957/966,5295/897 is 3/12558

Least Common Multiple of 966,897 with GCF Formula

Least Common Multiple of 966,897 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 966,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,897) = 69

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

GCF(966,897) x common factors =69 x 1 = 69

LCM(966,897) = ( 966 × 897 ) / 69

LCM(966,897) = 866502 / 69

LCM(966,897) = 12558


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 3957/966, 5295/897

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 3957/966, 5295/897?

Answer: GCF of Numerators as per given numbers 3957/966, 5295/897 is

GCF of Numerators i.e. for 3957,5295 is 3

LCM of denominators i.e. for 966,897 is 12558.

Thus, GCF of Fractions is 3/12558.Finally, GCF of Fractions for 3957/966, 5295/897 is 3/12558.