Greatest Common Factor of 2532/49, 5738/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2532/49, 5738/350

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 2532/49,5738/350

Given fractions are 2532/49,5738/350

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 2532,5738

Greatest Common Factor of Numerators i.e. GCF of 2532,5738 is 2 .

LCM of Denominators means LCM of 49,350 as per the given fractions.

LCM of 49,350 is 2450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2532,5738

GCF of Fractions 2532/49,5738/350 is 2/2450

2 2532, 5738
1266, 2869

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2532,5738 By Matching Biggest Common Factor Method

Greatest Common Factor of 2532,5738 By Matching Biggest Common Factor Method

Factors of 2532

List of positive integer factors of 2532 that divides 2532 without a remainder.

1,2,3,4,6,12,211,422,633,844,1266,2532

Factors of 5738

List of positive integer factors of 5738 that divides 5738 without a remainder.

1,2,19,38,151,302,2869,5738

Greatest Common Factor

We found the factors 2532,5738 . The biggest common factor number is the GCF number.
So the greatest common factor 2532,5738 is 2.

Lets's calculate LCM of 49,350

7 49, 350
7, 50

∴ So the LCM of the given numbers is 7 x 7 x 50 = 2450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2450

Therefore, the GCF of Fractions 2532/49,5738/350 is 2/2450

Least Common Multiple of 49,350 with GCF Formula

Least Common Multiple of 49,350 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 49,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,350) = 7

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

GCF(49,350) x common factors =7 x 1 = 7

LCM(49,350) = ( 49 × 350 ) / 7

LCM(49,350) = 17150 / 7

LCM(49,350) = 2450


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 2532/49, 5738/350

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 2532/49, 5738/350?

Answer: GCF of Numerators as per given numbers 2532/49, 5738/350 is

GCF of Numerators i.e. for 2532,5738 is 2

LCM of denominators i.e. for 49,350 is 2450.

Thus, GCF of Fractions is 2/2450.Finally, GCF of Fractions for 2532/49, 5738/350 is 2/2450.