Greatest Common Factor of 3275/165, 5757/4514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3275/165, 5757/4514

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 3275/165,5757/4514

Given fractions are 3275/165,5757/4514

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 3275,5757

Greatest Common Factor of Numerators i.e. GCF of 3275,5757 is 1 .

LCM of Denominators means LCM of 165,4514 as per the given fractions.

LCM of 165,4514 is 744810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3275,5757

GCF of Fractions 3275/165,5757/4514 is 1/744810

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

Greatest Common Factor of 3275,5757 By Matching Biggest Common Factor Method

Greatest Common Factor of 3275,5757 By Matching Biggest Common Factor Method

Factors of 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1,5,25,131,655,3275

Factors of 5757

List of positive integer factors of 5757 that divides 5757 without a remainder.

1,3,19,57,101,303,1919,5757

Greatest Common Factor

We found the factors 3275,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 3275,5757 is 1.

Lets's calculate LCM of 165,4514

Given numbers has no common factors except 1. So, there LCM is their product i.e 744810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744810

Therefore, the GCF of Fractions 3275/165,5757/4514 is 1/744810

Least Common Multiple of 165,4514 with GCF Formula

Least Common Multiple of 165,4514 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 165,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,4514) = 1

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

GCF(165,4514) x common factors =1 x 1 = 1

LCM(165,4514) = ( 165 × 4514 ) / 1

LCM(165,4514) = 744810 / 1

LCM(165,4514) = 744810


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 3275/165, 5757/4514

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 3275/165, 5757/4514?

Answer: GCF of Numerators as per given numbers 3275/165, 5757/4514 is

GCF of Numerators i.e. for 3275,5757 is 1

LCM of denominators i.e. for 165,4514 is 744810.

Thus, GCF of Fractions is 1/744810.Finally, GCF of Fractions for 3275/165, 5757/4514 is 1/744810.