Greatest Common Factor of 4242/523, 9510/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4242/523, 9510/716

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 4242/523,9510/716

Given fractions are 4242/523,9510/716

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 4242,9510

Greatest Common Factor of Numerators i.e. GCF of 4242,9510 is 6 .

LCM of Denominators means LCM of 523,716 as per the given fractions.

LCM of 523,716 is 374468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4242,9510

GCF of Fractions 4242/523,9510/716 is 6/374468

2 4242, 9510
3 2121, 4755
707, 1585

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4242,9510 By Matching Biggest Common Factor Method

Greatest Common Factor of 4242,9510 By Matching Biggest Common Factor Method

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Greatest Common Factor

We found the factors 4242,9510 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,9510 is 6.

Lets's calculate LCM of 523,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 374468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/374468

Therefore, the GCF of Fractions 4242/523,9510/716 is 6/374468

Least Common Multiple of 523,716 with GCF Formula

Least Common Multiple of 523,716 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 523,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,716) = 1

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

GCF(523,716) x common factors =1 x 1 = 1

LCM(523,716) = ( 523 × 716 ) / 1

LCM(523,716) = 374468 / 1

LCM(523,716) = 374468


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 4242/523, 9510/716

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 4242/523, 9510/716?

Answer: GCF of Numerators as per given numbers 4242/523, 9510/716 is

GCF of Numerators i.e. for 4242,9510 is 6

LCM of denominators i.e. for 523,716 is 374468.

Thus, GCF of Fractions is 6/374468.Finally, GCF of Fractions for 4242/523, 9510/716 is 6/374468.