Greatest Common Factor of 494/96, 507/58, 461/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 494/96, 507/58, 461/463

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 494/96,507/58,461/463

Given fractions are 494/96,507/58,461/463

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 494,507,461

Greatest Common Factor of Numerators i.e. GCF of 494,507,461 is 1 .

LCM of Denominators means LCM of 96,58,463 as per the given fractions.

LCM of 96,58,463 is 1288992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 494,507,461

GCF of Fractions 494/96,507/58,461/463 is 1/1288992

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

Greatest Common Factor of 494,507,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,507,461 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 494,507,461 . The biggest common factor number is the GCF number.
So the greatest common factor 494,507,461 is 1.

Lets's calculate LCM of 96,58,463

2 96, 58, 463
48, 29, 463

∴ So the LCM of the given numbers is 2 x 48 x 29 x 463 = 1288992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1288992

Therefore, the GCF of Fractions 494/96,507/58,461/463 is 1/1288992

Least Common Multiple of 96,58,463 with GCF Formula

Least Common Multiple of 96,58,463 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 96,58,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,58,463) = 1

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

GCF(96,58,463) x common factors =1 x 2 = 2

LCM(96,58,463) = ( 96 × 58 × 463 ) / 2

LCM(96,58,463) = 2577984 / 2

LCM(96,58,463) = 1288992


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 494/96, 507/58, 461/463

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 494/96, 507/58, 461/463?

Answer: GCF of Numerators as per given numbers 494/96, 507/58, 461/463 is

GCF of Numerators i.e. for 494,507,461 is 1

LCM of denominators i.e. for 96,58,463 is 1288992.

Thus, GCF of Fractions is 1/1288992.Finally, GCF of Fractions for 494/96, 507/58, 461/463 is 1/1288992.