Greatest Common Factor of 364/328, 9452/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 364/328, 9452/592

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 364/328,9452/592

Given fractions are 364/328,9452/592

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 364,9452

Greatest Common Factor of Numerators i.e. GCF of 364,9452 is 4 .

LCM of Denominators means LCM of 328,592 as per the given fractions.

LCM of 328,592 is 24272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 364,9452

GCF of Fractions 364/328,9452/592 is 4/24272

2 364, 9452
2 182, 4726
91, 2363

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 364,9452 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,9452 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 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1,2,4,17,34,68,139,278,556,2363,4726,9452

Greatest Common Factor

We found the factors 364,9452 . The biggest common factor number is the GCF number.
So the greatest common factor 364,9452 is 4.

Lets's calculate LCM of 328,592

2 328, 592
2 164, 296
2 82, 148
41, 74

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 74 = 24272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/24272

Therefore, the GCF of Fractions 364/328,9452/592 is 4/24272

Least Common Multiple of 328,592 with GCF Formula

Least Common Multiple of 328,592 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 328,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,592) = 8

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

GCF(328,592) x common factors =8 x 1 = 8

LCM(328,592) = ( 328 × 592 ) / 8

LCM(328,592) = 194176 / 8

LCM(328,592) = 24272


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 364/328, 9452/592

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 364/328, 9452/592?

Answer: GCF of Numerators as per given numbers 364/328, 9452/592 is

GCF of Numerators i.e. for 364,9452 is 4

LCM of denominators i.e. for 328,592 is 24272.

Thus, GCF of Fractions is 4/24272.Finally, GCF of Fractions for 364/328, 9452/592 is 4/24272.