Greatest Common Factor of 4234/756, 7431/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4234/756, 7431/641

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 4234/756,7431/641

Given fractions are 4234/756,7431/641

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 4234,7431

Greatest Common Factor of Numerators i.e. GCF of 4234,7431 is 1 .

LCM of Denominators means LCM of 756,641 as per the given fractions.

LCM of 756,641 is 484596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4234,7431

GCF of Fractions 4234/756,7431/641 is 1/484596

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

Greatest Common Factor of 4234,7431 By Matching Biggest Common Factor Method

Greatest Common Factor of 4234,7431 By Matching Biggest Common Factor Method

Factors of 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1,2,29,58,73,146,2117,4234

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1,3,2477,7431

Greatest Common Factor

We found the factors 4234,7431 . The biggest common factor number is the GCF number.
So the greatest common factor 4234,7431 is 1.

Lets's calculate LCM of 756,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 484596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484596

Therefore, the GCF of Fractions 4234/756,7431/641 is 1/484596

Least Common Multiple of 756,641 with GCF Formula

Least Common Multiple of 756,641 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 756,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,641) = 1

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

GCF(756,641) x common factors =1 x 1 = 1

LCM(756,641) = ( 756 × 641 ) / 1

LCM(756,641) = 484596 / 1

LCM(756,641) = 484596


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 4234/756, 7431/641

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 4234/756, 7431/641?

Answer: GCF of Numerators as per given numbers 4234/756, 7431/641 is

GCF of Numerators i.e. for 4234,7431 is 1

LCM of denominators i.e. for 756,641 is 484596.

Thus, GCF of Fractions is 1/484596.Finally, GCF of Fractions for 4234/756, 7431/641 is 1/484596.