Greatest Common Factor of 3701/512, 8625/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3701/512, 8625/735

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 3701/512,8625/735

Given fractions are 3701/512,8625/735

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 3701,8625

Greatest Common Factor of Numerators i.e. GCF of 3701,8625 is 1 .

LCM of Denominators means LCM of 512,735 as per the given fractions.

LCM of 512,735 is 376320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3701,8625

GCF of Fractions 3701/512,8625/735 is 1/376320

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

Greatest Common Factor of 3701,8625 By Matching Biggest Common Factor Method

Greatest Common Factor of 3701,8625 By Matching Biggest Common Factor Method

Factors of 3701

List of positive integer factors of 3701 that divides 3701 without a remainder.

1,3701

Factors of 8625

List of positive integer factors of 8625 that divides 8625 without a remainder.

1,3,5,15,23,25,69,75,115,125,345,375,575,1725,2875,8625

Greatest Common Factor

We found the factors 3701,8625 . The biggest common factor number is the GCF number.
So the greatest common factor 3701,8625 is 1.

Lets's calculate LCM of 512,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 376320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376320

Therefore, the GCF of Fractions 3701/512,8625/735 is 1/376320

Least Common Multiple of 512,735 with GCF Formula

Least Common Multiple of 512,735 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 512,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,735) = 1

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

GCF(512,735) x common factors =1 x 1 = 1

LCM(512,735) = ( 512 × 735 ) / 1

LCM(512,735) = 376320 / 1

LCM(512,735) = 376320


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 3701/512, 8625/735

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 3701/512, 8625/735?

Answer: GCF of Numerators as per given numbers 3701/512, 8625/735 is

GCF of Numerators i.e. for 3701,8625 is 1

LCM of denominators i.e. for 512,735 is 376320.

Thus, GCF of Fractions is 1/376320.Finally, GCF of Fractions for 3701/512, 8625/735 is 1/376320.