Greatest Common Factor of 9955/756, 5258/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9955/756, 5258/322

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 9955/756,5258/322

Given fractions are 9955/756,5258/322

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 9955,5258

Greatest Common Factor of Numerators i.e. GCF of 9955,5258 is 11 .

LCM of Denominators means LCM of 756,322 as per the given fractions.

LCM of 756,322 is 17388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9955,5258

GCF of Fractions 9955/756,5258/322 is 11/17388

11 9955, 5258
905, 478

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9955,5258 By Matching Biggest Common Factor Method

Greatest Common Factor of 9955,5258 By Matching Biggest Common Factor Method

Factors of 9955

List of positive integer factors of 9955 that divides 9955 without a remainder.

1,5,11,55,181,905,1991,9955

Factors of 5258

List of positive integer factors of 5258 that divides 5258 without a remainder.

1,2,11,22,239,478,2629,5258

Greatest Common Factor

We found the factors 9955,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 9955,5258 is 11.

Lets's calculate LCM of 756,322

2 756, 322
7 378, 161
54, 23

∴ So the LCM of the given numbers is 2 x 7 x 54 x 23 = 17388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/17388

Therefore, the GCF of Fractions 9955/756,5258/322 is 11/17388

Least Common Multiple of 756,322 with GCF Formula

Least Common Multiple of 756,322 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 756,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,322) = 14

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

GCF(756,322) x common factors =14 x 1 = 14

LCM(756,322) = ( 756 × 322 ) / 14

LCM(756,322) = 243432 / 14

LCM(756,322) = 17388


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 9955/756, 5258/322

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 9955/756, 5258/322?

Answer: GCF of Numerators as per given numbers 9955/756, 5258/322 is

GCF of Numerators i.e. for 9955,5258 is 11

LCM of denominators i.e. for 756,322 is 17388.

Thus, GCF of Fractions is 11/17388.Finally, GCF of Fractions for 9955/756, 5258/322 is 11/17388.