Greatest Common Factor of 3975/47, 6307/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3975/47, 6307/562

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 3975/47,6307/562

Given fractions are 3975/47,6307/562

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 3975,6307

Greatest Common Factor of Numerators i.e. GCF of 3975,6307 is 53 .

LCM of Denominators means LCM of 47,562 as per the given fractions.

LCM of 47,562 is 26414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3975,6307

GCF of Fractions 3975/47,6307/562 is 53/26414

53 3975, 6307
75, 119

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 3975,6307 By Matching Biggest Common Factor Method

Greatest Common Factor of 3975,6307 By Matching Biggest Common Factor Method

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Factors of 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1,7,17,53,119,371,901,6307

Greatest Common Factor

We found the factors 3975,6307 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,6307 is 53.

Lets's calculate LCM of 47,562

Given numbers has no common factors except 1. So, there LCM is their product i.e 26414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/26414

Therefore, the GCF of Fractions 3975/47,6307/562 is 53/26414

Least Common Multiple of 47,562 with GCF Formula

Least Common Multiple of 47,562 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 47,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,562) = 1

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

GCF(47,562) x common factors =1 x 1 = 1

LCM(47,562) = ( 47 × 562 ) / 1

LCM(47,562) = 26414 / 1

LCM(47,562) = 26414


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 3975/47, 6307/562

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 3975/47, 6307/562?

Answer: GCF of Numerators as per given numbers 3975/47, 6307/562 is

GCF of Numerators i.e. for 3975,6307 is 53

LCM of denominators i.e. for 47,562 is 26414.

Thus, GCF of Fractions is 53/26414.Finally, GCF of Fractions for 3975/47, 6307/562 is 53/26414.