Greatest Common Factor of 2537/749, 2975/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2537/749, 2975/265

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 2537/749,2975/265

Given fractions are 2537/749,2975/265

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 2537,2975

Greatest Common Factor of Numerators i.e. GCF of 2537,2975 is 1 .

LCM of Denominators means LCM of 749,265 as per the given fractions.

LCM of 749,265 is 198485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2537,2975

GCF of Fractions 2537/749,2975/265 is 1/198485

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

Greatest Common Factor of 2537,2975 By Matching Biggest Common Factor Method

Greatest Common Factor of 2537,2975 By Matching Biggest Common Factor Method

Factors of 2537

List of positive integer factors of 2537 that divides 2537 without a remainder.

1,43,59,2537

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1,5,7,17,25,35,85,119,175,425,595,2975

Greatest Common Factor

We found the factors 2537,2975 . The biggest common factor number is the GCF number.
So the greatest common factor 2537,2975 is 1.

Lets's calculate LCM of 749,265

Given numbers has no common factors except 1. So, there LCM is their product i.e 198485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198485

Therefore, the GCF of Fractions 2537/749,2975/265 is 1/198485

Least Common Multiple of 749,265 with GCF Formula

Least Common Multiple of 749,265 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 749,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,265) = 1

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

GCF(749,265) x common factors =1 x 1 = 1

LCM(749,265) = ( 749 × 265 ) / 1

LCM(749,265) = 198485 / 1

LCM(749,265) = 198485


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 2537/749, 2975/265

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 2537/749, 2975/265?

Answer: GCF of Numerators as per given numbers 2537/749, 2975/265 is

GCF of Numerators i.e. for 2537,2975 is 1

LCM of denominators i.e. for 749,265 is 198485.

Thus, GCF of Fractions is 1/198485.Finally, GCF of Fractions for 2537/749, 2975/265 is 1/198485.