Greatest Common Factor of 9664/504, 9722/3828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9664/504, 9722/3828

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 9664/504,9722/3828

Given fractions are 9664/504,9722/3828

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 9664,9722

Greatest Common Factor of Numerators i.e. GCF of 9664,9722 is 2 .

LCM of Denominators means LCM of 504,3828 as per the given fractions.

LCM of 504,3828 is 160776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9664,9722

GCF of Fractions 9664/504,9722/3828 is 2/160776

2 9664, 9722
4832, 4861

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

Greatest Common Factor of 9664,9722 By Matching Biggest Common Factor Method

Greatest Common Factor of 9664,9722 By Matching Biggest Common Factor Method

Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1,2,4861,9722

Greatest Common Factor

We found the factors 9664,9722 . The biggest common factor number is the GCF number.
So the greatest common factor 9664,9722 is 2.

Lets's calculate LCM of 504,3828

2 504, 3828
2 252, 1914
3 126, 957
42, 319

∴ So the LCM of the given numbers is 2 x 2 x 3 x 42 x 319 = 160776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160776

Therefore, the GCF of Fractions 9664/504,9722/3828 is 2/160776

Least Common Multiple of 504,3828 with GCF Formula

Least Common Multiple of 504,3828 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 504,3828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,3828) = 12

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

GCF(504,3828) x common factors =12 x 1 = 12

LCM(504,3828) = ( 504 × 3828 ) / 12

LCM(504,3828) = 1929312 / 12

LCM(504,3828) = 160776


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 9664/504, 9722/3828

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 9664/504, 9722/3828?

Answer: GCF of Numerators as per given numbers 9664/504, 9722/3828 is

GCF of Numerators i.e. for 9664,9722 is 2

LCM of denominators i.e. for 504,3828 is 160776.

Thus, GCF of Fractions is 2/160776.Finally, GCF of Fractions for 9664/504, 9722/3828 is 2/160776.