Greatest Common Factor of 3584/158, 9513/9924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3584/158, 9513/9924

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 3584/158,9513/9924

Given fractions are 3584/158,9513/9924

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 3584,9513

Greatest Common Factor of Numerators i.e. GCF of 3584,9513 is 7 .

LCM of Denominators means LCM of 158,9924 as per the given fractions.

LCM of 158,9924 is 783996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3584,9513

GCF of Fractions 3584/158,9513/9924 is 7/783996

7 3584, 9513
512, 1359

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3584,9513 By Matching Biggest Common Factor Method

Greatest Common Factor of 3584,9513 By Matching Biggest Common Factor Method

Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1,3,7,9,21,63,151,453,1057,1359,3171,9513

Greatest Common Factor

We found the factors 3584,9513 . The biggest common factor number is the GCF number.
So the greatest common factor 3584,9513 is 7.

Lets's calculate LCM of 158,9924

2 158, 9924
79, 4962

∴ So the LCM of the given numbers is 2 x 79 x 4962 = 783996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/783996

Therefore, the GCF of Fractions 3584/158,9513/9924 is 7/783996

Least Common Multiple of 158,9924 with GCF Formula

Least Common Multiple of 158,9924 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 158,9924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,9924) = 2

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

GCF(158,9924) x common factors =2 x 1 = 2

LCM(158,9924) = ( 158 × 9924 ) / 2

LCM(158,9924) = 1567992 / 2

LCM(158,9924) = 783996


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 3584/158, 9513/9924

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 3584/158, 9513/9924?

Answer: GCF of Numerators as per given numbers 3584/158, 9513/9924 is

GCF of Numerators i.e. for 3584,9513 is 7

LCM of denominators i.e. for 158,9924 is 783996.

Thus, GCF of Fractions is 7/783996.Finally, GCF of Fractions for 3584/158, 9513/9924 is 7/783996.