Greatest Common Factor of 452/77, 853/30, 238/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 452/77, 853/30, 238/497

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 452/77,853/30,238/497

Given fractions are 452/77,853/30,238/497

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 452,853,238

Greatest Common Factor of Numerators i.e. GCF of 452,853,238 is 1 .

LCM of Denominators means LCM of 77,30,497 as per the given fractions.

LCM of 77,30,497 is 164010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 452,853,238

GCF of Fractions 452/77,853/30,238/497 is 1/164010

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 452,853,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,853,238 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 452,853,238 . The biggest common factor number is the GCF number.
So the greatest common factor 452,853,238 is 1.

Lets's calculate LCM of 77,30,497

7 77, 30, 497
11, 30, 71

∴ So the LCM of the given numbers is 7 x 11 x 30 x 71 = 164010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164010

Therefore, the GCF of Fractions 452/77,853/30,238/497 is 1/164010

Least Common Multiple of 77,30,497 with GCF Formula

Least Common Multiple of 77,30,497 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 77,30,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,30,497) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,30,497) x common factors =1 x 7 = 7

LCM(77,30,497) = ( 77 × 30 × 497 ) / 7

LCM(77,30,497) = 1148070 / 7

LCM(77,30,497) = 164010


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 452/77, 853/30, 238/497

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 452/77, 853/30, 238/497?

Answer: GCF of Numerators as per given numbers 452/77, 853/30, 238/497 is

GCF of Numerators i.e. for 452,853,238 is 1

LCM of denominators i.e. for 77,30,497 is 164010.

Thus, GCF of Fractions is 1/164010.Finally, GCF of Fractions for 452/77, 853/30, 238/497 is 1/164010.