Greatest Common Factor of 3813/63, 3175/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3813/63, 3175/715

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 3813/63,3175/715

Given fractions are 3813/63,3175/715

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 3813,3175

Greatest Common Factor of Numerators i.e. GCF of 3813,3175 is 1 .

LCM of Denominators means LCM of 63,715 as per the given fractions.

LCM of 63,715 is 45045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3813,3175

GCF of Fractions 3813/63,3175/715 is 1/45045

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

Greatest Common Factor of 3813,3175 By Matching Biggest Common Factor Method

Greatest Common Factor of 3813,3175 By Matching Biggest Common Factor Method

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1,3,31,41,93,123,1271,3813

Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1,5,25,127,635,3175

Greatest Common Factor

We found the factors 3813,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,3175 is 1.

Lets's calculate LCM of 63,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 45045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45045

Therefore, the GCF of Fractions 3813/63,3175/715 is 1/45045

Least Common Multiple of 63,715 with GCF Formula

Least Common Multiple of 63,715 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 63,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,715) = 1

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

GCF(63,715) x common factors =1 x 1 = 1

LCM(63,715) = ( 63 × 715 ) / 1

LCM(63,715) = 45045 / 1

LCM(63,715) = 45045


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 3813/63, 3175/715

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 3813/63, 3175/715?

Answer: GCF of Numerators as per given numbers 3813/63, 3175/715 is

GCF of Numerators i.e. for 3813,3175 is 1

LCM of denominators i.e. for 63,715 is 45045.

Thus, GCF of Fractions is 1/45045.Finally, GCF of Fractions for 3813/63, 3175/715 is 1/45045.