Greatest Common Factor of 617/81, 275/51, 649/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/81, 275/51, 649/492

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 617/81,275/51,649/492

Given fractions are 617/81,275/51,649/492

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 617,275,649

Greatest Common Factor of Numerators i.e. GCF of 617,275,649 is 1 .

LCM of Denominators means LCM of 81,51,492 as per the given fractions.

LCM of 81,51,492 is 225828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,275,649

GCF of Fractions 617/81,275/51,649/492 is 1/225828

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

Greatest Common Factor of 617,275,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,275,649 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 617,275,649 . The biggest common factor number is the GCF number.
So the greatest common factor 617,275,649 is 1.

Lets's calculate LCM of 81,51,492

3 81, 51, 492
27, 17, 164

∴ So the LCM of the given numbers is 3 x 27 x 17 x 164 = 225828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/225828

Therefore, the GCF of Fractions 617/81,275/51,649/492 is 1/225828

Least Common Multiple of 81,51,492 with GCF Formula

Least Common Multiple of 81,51,492 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 81,51,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,51,492) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(81,51,492) x common factors =3 x 3 = 9

LCM(81,51,492) = ( 81 × 51 × 492 ) / 9

LCM(81,51,492) = 2032452 / 9

LCM(81,51,492) = 225828


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 617/81, 275/51, 649/492

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 617/81, 275/51, 649/492?

Answer: GCF of Numerators as per given numbers 617/81, 275/51, 649/492 is

GCF of Numerators i.e. for 617,275,649 is 1

LCM of denominators i.e. for 81,51,492 is 225828.

Thus, GCF of Fractions is 1/225828.Finally, GCF of Fractions for 617/81, 275/51, 649/492 is 1/225828.