Greatest Common Factor of 493/21, 343/94, 772/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/21, 343/94, 772/368

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 493/21,343/94,772/368

Given fractions are 493/21,343/94,772/368

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 493,343,772

Greatest Common Factor of Numerators i.e. GCF of 493,343,772 is 1 .

LCM of Denominators means LCM of 21,94,368 as per the given fractions.

LCM of 21,94,368 is 363216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,343,772

GCF of Fractions 493/21,343/94,772/368 is 1/363216

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

Greatest Common Factor of 493,343,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,343,772 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 493,343,772 . The biggest common factor number is the GCF number.
So the greatest common factor 493,343,772 is 1.

Lets's calculate LCM of 21,94,368

2 21, 94, 368
21, 47, 184

∴ So the LCM of the given numbers is 2 x 21 x 47 x 184 = 363216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363216

Therefore, the GCF of Fractions 493/21,343/94,772/368 is 1/363216

Least Common Multiple of 21,94,368 with GCF Formula

Least Common Multiple of 21,94,368 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 21,94,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,94,368) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(21,94,368) x common factors =1 x 2 = 2

LCM(21,94,368) = ( 21 × 94 × 368 ) / 2

LCM(21,94,368) = 726432 / 2

LCM(21,94,368) = 363216


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 493/21, 343/94, 772/368

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 493/21, 343/94, 772/368?

Answer: GCF of Numerators as per given numbers 493/21, 343/94, 772/368 is

GCF of Numerators i.e. for 493,343,772 is 1

LCM of denominators i.e. for 21,94,368 is 363216.

Thus, GCF of Fractions is 1/363216.Finally, GCF of Fractions for 493/21, 343/94, 772/368 is 1/363216.