Greatest Common Factor of 752/70, 499/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/70, 499/642

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 752/70,499/642

Given fractions are 752/70,499/642

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 752,499

Greatest Common Factor of Numerators i.e. GCF of 752,499 is 1 .

LCM of Denominators means LCM of 70,642 as per the given fractions.

LCM of 70,642 is 22470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,499

GCF of Fractions 752/70,499/642 is 1/22470

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

Greatest Common Factor of 752,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,499 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 752,499 . The biggest common factor number is the GCF number.
So the greatest common factor 752,499 is 1.

Lets's calculate LCM of 70,642

2 70, 642
35, 321

∴ So the LCM of the given numbers is 2 x 35 x 321 = 22470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22470

Therefore, the GCF of Fractions 752/70,499/642 is 1/22470

Least Common Multiple of 70,642 with GCF Formula

Least Common Multiple of 70,642 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 70,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,642) = 2

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

GCF(70,642) x common factors =2 x 1 = 2

LCM(70,642) = ( 70 × 642 ) / 2

LCM(70,642) = 44940 / 2

LCM(70,642) = 22470


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 752/70, 499/642

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 752/70, 499/642?

Answer: GCF of Numerators as per given numbers 752/70, 499/642 is

GCF of Numerators i.e. for 752,499 is 1

LCM of denominators i.e. for 70,642 is 22470.

Thus, GCF of Fractions is 1/22470.Finally, GCF of Fractions for 752/70, 499/642 is 1/22470.