Greatest Common Factor of 2353/525, 2764/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2353/525, 2764/757

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 2353/525,2764/757

Given fractions are 2353/525,2764/757

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 2353,2764

Greatest Common Factor of Numerators i.e. GCF of 2353,2764 is 1 .

LCM of Denominators means LCM of 525,757 as per the given fractions.

LCM of 525,757 is 397425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2353,2764

GCF of Fractions 2353/525,2764/757 is 1/397425

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

Greatest Common Factor of 2353,2764 By Matching Biggest Common Factor Method

Greatest Common Factor of 2353,2764 By Matching Biggest Common Factor Method

Factors of 2353

List of positive integer factors of 2353 that divides 2353 without a remainder.

1,13,181,2353

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1,2,4,691,1382,2764

Greatest Common Factor

We found the factors 2353,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 2353,2764 is 1.

Lets's calculate LCM of 525,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 397425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397425

Therefore, the GCF of Fractions 2353/525,2764/757 is 1/397425

Least Common Multiple of 525,757 with GCF Formula

Least Common Multiple of 525,757 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 525,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,757) = 1

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

GCF(525,757) x common factors =1 x 1 = 1

LCM(525,757) = ( 525 × 757 ) / 1

LCM(525,757) = 397425 / 1

LCM(525,757) = 397425


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 2353/525, 2764/757

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 2353/525, 2764/757?

Answer: GCF of Numerators as per given numbers 2353/525, 2764/757 is

GCF of Numerators i.e. for 2353,2764 is 1

LCM of denominators i.e. for 525,757 is 397425.

Thus, GCF of Fractions is 1/397425.Finally, GCF of Fractions for 2353/525, 2764/757 is 1/397425.