Greatest Common Factor of 364/54, 1404/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/54, 1404/996

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 364/54,1404/996

Given fractions are 364/54,1404/996

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 364,1404

Greatest Common Factor of Numerators i.e. GCF of 364,1404 is 52 .

LCM of Denominators means LCM of 54,996 as per the given fractions.

LCM of 54,996 is 8964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,1404

GCF of Fractions 364/54,1404/996 is 52/8964

2 364, 1404
2 182, 702
13 91, 351
7, 27

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

Greatest Common Factor of 364,1404 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,1404 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 1404

List of positive integer factors of 1404 that divides 1404 without a remainder.

1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404

Greatest Common Factor

We found the factors 364,1404 . The biggest common factor number is the GCF number.
So the greatest common factor 364,1404 is 52.

Lets's calculate LCM of 54,996

2 54, 996
3 27, 498
9, 166

∴ So the LCM of the given numbers is 2 x 3 x 9 x 166 = 8964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/8964

Therefore, the GCF of Fractions 364/54,1404/996 is 52/8964

Least Common Multiple of 54,996 with GCF Formula

Least Common Multiple of 54,996 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 54,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,996) = 6

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

GCF(54,996) x common factors =6 x 1 = 6

LCM(54,996) = ( 54 × 996 ) / 6

LCM(54,996) = 53784 / 6

LCM(54,996) = 8964


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 364/54, 1404/996

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 364/54, 1404/996?

Answer: GCF of Numerators as per given numbers 364/54, 1404/996 is

GCF of Numerators i.e. for 364,1404 is 52

LCM of denominators i.e. for 54,996 is 8964.

Thus, GCF of Fractions is 52/8964.Finally, GCF of Fractions for 364/54, 1404/996 is 52/8964.