Greatest Common Factor of 358/942, 4524/1365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 358/942, 4524/1365

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 358/942,4524/1365

Given fractions are 358/942,4524/1365

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 358,4524

Greatest Common Factor of Numerators i.e. GCF of 358,4524 is 2 .

LCM of Denominators means LCM of 942,1365 as per the given fractions.

LCM of 942,1365 is 428610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 358,4524

GCF of Fractions 358/942,4524/1365 is 2/428610

2 358, 4524
179, 2262

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

Greatest Common Factor of 358,4524 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,4524 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Greatest Common Factor

We found the factors 358,4524 . The biggest common factor number is the GCF number.
So the greatest common factor 358,4524 is 2.

Lets's calculate LCM of 942,1365

3 942, 1365
314, 455

∴ So the LCM of the given numbers is 3 x 314 x 455 = 428610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/428610

Therefore, the GCF of Fractions 358/942,4524/1365 is 2/428610

Least Common Multiple of 942,1365 with GCF Formula

Least Common Multiple of 942,1365 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 942,1365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,1365) = 3

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

GCF(942,1365) x common factors =3 x 1 = 3

LCM(942,1365) = ( 942 × 1365 ) / 3

LCM(942,1365) = 1285830 / 3

LCM(942,1365) = 428610


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 358/942, 4524/1365

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 358/942, 4524/1365?

Answer: GCF of Numerators as per given numbers 358/942, 4524/1365 is

GCF of Numerators i.e. for 358,4524 is 2

LCM of denominators i.e. for 942,1365 is 428610.

Thus, GCF of Fractions is 2/428610.Finally, GCF of Fractions for 358/942, 4524/1365 is 2/428610.