Greatest Common Factor of 4836/52, 9964/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4836/52, 9964/423

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 4836/52,9964/423

Given fractions are 4836/52,9964/423

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 4836,9964

Greatest Common Factor of Numerators i.e. GCF of 4836,9964 is 4 .

LCM of Denominators means LCM of 52,423 as per the given fractions.

LCM of 52,423 is 21996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4836,9964

GCF of Fractions 4836/52,9964/423 is 4/21996

2 4836, 9964
2 2418, 4982
1209, 2491

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4836,9964 By Matching Biggest Common Factor Method

Greatest Common Factor of 4836,9964 By Matching Biggest Common Factor Method

Factors of 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1,2,4,47,53,94,106,188,212,2491,4982,9964

Greatest Common Factor

We found the factors 4836,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 4836,9964 is 4.

Lets's calculate LCM of 52,423

Given numbers has no common factors except 1. So, there LCM is their product i.e 21996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21996

Therefore, the GCF of Fractions 4836/52,9964/423 is 4/21996

Least Common Multiple of 52,423 with GCF Formula

Least Common Multiple of 52,423 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 52,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,423) = 1

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

GCF(52,423) x common factors =1 x 1 = 1

LCM(52,423) = ( 52 × 423 ) / 1

LCM(52,423) = 21996 / 1

LCM(52,423) = 21996


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 4836/52, 9964/423

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 4836/52, 9964/423?

Answer: GCF of Numerators as per given numbers 4836/52, 9964/423 is

GCF of Numerators i.e. for 4836,9964 is 4

LCM of denominators i.e. for 52,423 is 21996.

Thus, GCF of Fractions is 4/21996.Finally, GCF of Fractions for 4836/52, 9964/423 is 4/21996.