Greatest Common Factor of 92/60, 896/44, 498/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/60, 896/44, 498/277

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 92/60,896/44,498/277

Given fractions are 92/60,896/44,498/277

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 92,896,498

Greatest Common Factor of Numerators i.e. GCF of 92,896,498 is 2 .

LCM of Denominators means LCM of 60,44,277 as per the given fractions.

LCM of 60,44,277 is 182820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,896,498

GCF of Fractions 92/60,896/44,498/277 is 2/182820

2 92, 896, 498
46, 448, 249

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 92,896,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,896,498 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 92,896,498 . The biggest common factor number is the GCF number.
So the greatest common factor 92,896,498 is 2.

Lets's calculate LCM of 60,44,277

2 60, 44, 277
2 30, 22, 277
15, 11, 277

∴ So the LCM of the given numbers is 2 x 2 x 15 x 11 x 277 = 182820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182820

Therefore, the GCF of Fractions 92/60,896/44,498/277 is 2/182820

Least Common Multiple of 60,44,277 with GCF Formula

Least Common Multiple of 60,44,277 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 60,44,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,44,277) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(60,44,277) x common factors =1 x 4 = 4

LCM(60,44,277) = ( 60 × 44 × 277 ) / 4

LCM(60,44,277) = 731280 / 4

LCM(60,44,277) = 182820


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 92/60, 896/44, 498/277

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 92/60, 896/44, 498/277?

Answer: GCF of Numerators as per given numbers 92/60, 896/44, 498/277 is

GCF of Numerators i.e. for 92,896,498 is 2

LCM of denominators i.e. for 60,44,277 is 182820.

Thus, GCF of Fractions is 2/182820.Finally, GCF of Fractions for 92/60, 896/44, 498/277 is 2/182820.