Greatest Common Factor of 9529/952, 5848/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9529/952, 5848/546

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 9529/952,5848/546

Given fractions are 9529/952,5848/546

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 9529,5848

Greatest Common Factor of Numerators i.e. GCF of 9529,5848 is 1 .

LCM of Denominators means LCM of 952,546 as per the given fractions.

LCM of 952,546 is 37128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9529,5848

GCF of Fractions 9529/952,5848/546 is 1/37128

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

Greatest Common Factor of 9529,5848 By Matching Biggest Common Factor Method

Greatest Common Factor of 9529,5848 By Matching Biggest Common Factor Method

Factors of 9529

List of positive integer factors of 9529 that divides 9529 without a remainder.

1,13,733,9529

Factors of 5848

List of positive integer factors of 5848 that divides 5848 without a remainder.

1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848

Greatest Common Factor

We found the factors 9529,5848 . The biggest common factor number is the GCF number.
So the greatest common factor 9529,5848 is 1.

Lets's calculate LCM of 952,546

2 952, 546
7 476, 273
68, 39

∴ So the LCM of the given numbers is 2 x 7 x 68 x 39 = 37128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37128

Therefore, the GCF of Fractions 9529/952,5848/546 is 1/37128

Least Common Multiple of 952,546 with GCF Formula

Least Common Multiple of 952,546 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 952,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,546) = 14

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

GCF(952,546) x common factors =14 x 1 = 14

LCM(952,546) = ( 952 × 546 ) / 14

LCM(952,546) = 519792 / 14

LCM(952,546) = 37128


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 9529/952, 5848/546

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 9529/952, 5848/546?

Answer: GCF of Numerators as per given numbers 9529/952, 5848/546 is

GCF of Numerators i.e. for 9529,5848 is 1

LCM of denominators i.e. for 952,546 is 37128.

Thus, GCF of Fractions is 1/37128.Finally, GCF of Fractions for 9529/952, 5848/546 is 1/37128.