Greatest Common Factor of 61/657, 482/924, 461/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/657, 482/924, 461/104

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 61/657,482/924,461/104

Given fractions are 61/657,482/924,461/104

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 61,482,461

Greatest Common Factor of Numerators i.e. GCF of 61,482,461 is 1 .

LCM of Denominators means LCM of 657,924,104 as per the given fractions.

LCM of 657,924,104 is 5261256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,482,461

GCF of Fractions 61/657,482/924,461/104 is 1/5261256

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

Greatest Common Factor of 61,482,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,482,461 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

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 61,482,461 . The biggest common factor number is the GCF number.
So the greatest common factor 61,482,461 is 1.

Lets's calculate LCM of 657,924,104

2 657, 924, 104
2 657, 462, 52
3 657, 231, 26
219, 77, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 219 x 77 x 26 = 5261256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5261256

Therefore, the GCF of Fractions 61/657,482/924,461/104 is 1/5261256

Least Common Multiple of 657,924,104 with GCF Formula

Least Common Multiple of 657,924,104 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 657,924,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(657,924,104) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(657,924,104) x common factors =1 x 12 = 12

LCM(657,924,104) = ( 657 × 924 × 104 ) / 12

LCM(657,924,104) = 63135072 / 12

LCM(657,924,104) = 5261256


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 61/657, 482/924, 461/104

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 61/657, 482/924, 461/104?

Answer: GCF of Numerators as per given numbers 61/657, 482/924, 461/104 is

GCF of Numerators i.e. for 61,482,461 is 1

LCM of denominators i.e. for 657,924,104 is 5261256.

Thus, GCF of Fractions is 1/5261256.Finally, GCF of Fractions for 61/657, 482/924, 461/104 is 1/5261256.