Greatest Common Factor of 492/21, 549/92, 457/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 492/21, 549/92, 457/377

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 492/21,549/92,457/377

Given fractions are 492/21,549/92,457/377

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 492,549,457

Greatest Common Factor of Numerators i.e. GCF of 492,549,457 is 1 .

LCM of Denominators means LCM of 21,92,377 as per the given fractions.

LCM of 21,92,377 is 728364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 492,549,457

GCF of Fractions 492/21,549/92,457/377 is 1/728364

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

Greatest Common Factor of 492,549,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,549,457 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 492,549,457 . The biggest common factor number is the GCF number.
So the greatest common factor 492,549,457 is 1.

Lets's calculate LCM of 21,92,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 728364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728364

Therefore, the GCF of Fractions 492/21,549/92,457/377 is 1/728364

Least Common Multiple of 21,92,377 with GCF Formula

Least Common Multiple of 21,92,377 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 21,92,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,92,377) = 1

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

GCF(21,92,377) x common factors =1 x 1 = 1

LCM(21,92,377) = ( 21 × 92 × 377 ) / 1

LCM(21,92,377) = 728364 / 1

LCM(21,92,377) = 728364


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 492/21, 549/92, 457/377

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 492/21, 549/92, 457/377?

Answer: GCF of Numerators as per given numbers 492/21, 549/92, 457/377 is

GCF of Numerators i.e. for 492,549,457 is 1

LCM of denominators i.e. for 21,92,377 is 728364.

Thus, GCF of Fractions is 1/728364.Finally, GCF of Fractions for 492/21, 549/92, 457/377 is 1/728364.