Greatest Common Factor of 5715/64, 4765/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5715/64, 4765/362

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 5715/64,4765/362

Given fractions are 5715/64,4765/362

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 5715,4765

Greatest Common Factor of Numerators i.e. GCF of 5715,4765 is 5 .

LCM of Denominators means LCM of 64,362 as per the given fractions.

LCM of 64,362 is 11584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5715,4765

GCF of Fractions 5715/64,4765/362 is 5/11584

5 5715, 4765
1143, 953

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5715,4765 By Matching Biggest Common Factor Method

Greatest Common Factor of 5715,4765 By Matching Biggest Common Factor Method

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1,3,5,9,15,45,127,381,635,1143,1905,5715

Factors of 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1,5,953,4765

Greatest Common Factor

We found the factors 5715,4765 . The biggest common factor number is the GCF number.
So the greatest common factor 5715,4765 is 5.

Lets's calculate LCM of 64,362

2 64, 362
32, 181

∴ So the LCM of the given numbers is 2 x 32 x 181 = 11584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/11584

Therefore, the GCF of Fractions 5715/64,4765/362 is 5/11584

Least Common Multiple of 64,362 with GCF Formula

Least Common Multiple of 64,362 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 64,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,362) = 2

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

GCF(64,362) x common factors =2 x 1 = 2

LCM(64,362) = ( 64 × 362 ) / 2

LCM(64,362) = 23168 / 2

LCM(64,362) = 11584


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 5715/64, 4765/362

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 5715/64, 4765/362?

Answer: GCF of Numerators as per given numbers 5715/64, 4765/362 is

GCF of Numerators i.e. for 5715,4765 is 5

LCM of denominators i.e. for 64,362 is 11584.

Thus, GCF of Fractions is 5/11584.Finally, GCF of Fractions for 5715/64, 4765/362 is 5/11584.