Greatest Common Factor of 908/992, 491/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 908/992, 491/460

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 908/992,491/460

Given fractions are 908/992,491/460

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 908,491

Greatest Common Factor of Numerators i.e. GCF of 908,491 is 1 .

LCM of Denominators means LCM of 992,460 as per the given fractions.

LCM of 992,460 is 114080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 908,491

GCF of Fractions 908/992,491/460 is 1/114080

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

Greatest Common Factor of 908,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,491 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 908,491 . The biggest common factor number is the GCF number.
So the greatest common factor 908,491 is 1.

Lets's calculate LCM of 992,460

2 992, 460
2 496, 230
248, 115

∴ So the LCM of the given numbers is 2 x 2 x 248 x 115 = 114080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114080

Therefore, the GCF of Fractions 908/992,491/460 is 1/114080

Least Common Multiple of 992,460 with GCF Formula

Least Common Multiple of 992,460 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 992,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,460) = 4

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

GCF(992,460) x common factors =4 x 1 = 4

LCM(992,460) = ( 992 × 460 ) / 4

LCM(992,460) = 456320 / 4

LCM(992,460) = 114080


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 908/992, 491/460

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 908/992, 491/460?

Answer: GCF of Numerators as per given numbers 908/992, 491/460 is

GCF of Numerators i.e. for 908,491 is 1

LCM of denominators i.e. for 992,460 is 114080.

Thus, GCF of Fractions is 1/114080.Finally, GCF of Fractions for 908/992, 491/460 is 1/114080.