Greatest Common Factor of 364/93, 936/9179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/93, 936/9179

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 364/93,936/9179

Given fractions are 364/93,936/9179

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 364,936

Greatest Common Factor of Numerators i.e. GCF of 364,936 is 52 .

LCM of Denominators means LCM of 93,9179 as per the given fractions.

LCM of 93,9179 is 853647 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,936

GCF of Fractions 364/93,936/9179 is 52/853647

2 364, 936
2 182, 468
13 91, 234
7, 18

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 364,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,936 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 364,936 . The biggest common factor number is the GCF number.
So the greatest common factor 364,936 is 52.

Lets's calculate LCM of 93,9179

Given numbers has no common factors except 1. So, there LCM is their product i.e 853647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/853647

Therefore, the GCF of Fractions 364/93,936/9179 is 52/853647

Least Common Multiple of 93,9179 with GCF Formula

Least Common Multiple of 93,9179 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 93,9179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,9179) = 1

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

GCF(93,9179) x common factors =1 x 1 = 1

LCM(93,9179) = ( 93 × 9179 ) / 1

LCM(93,9179) = 853647 / 1

LCM(93,9179) = 853647


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 364/93, 936/9179

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 364/93, 936/9179?

Answer: GCF of Numerators as per given numbers 364/93, 936/9179 is

GCF of Numerators i.e. for 364,936 is 52

LCM of denominators i.e. for 93,9179 is 853647.

Thus, GCF of Fractions is 52/853647.Finally, GCF of Fractions for 364/93, 936/9179 is 52/853647.