Greatest Common Factor of 910/49, 379/87, 992/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/49, 379/87, 992/176

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 910/49,379/87,992/176

Given fractions are 910/49,379/87,992/176

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 910,379,992

Greatest Common Factor of Numerators i.e. GCF of 910,379,992 is 1 .

LCM of Denominators means LCM of 49,87,176 as per the given fractions.

LCM of 49,87,176 is 750288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,379,992

GCF of Fractions 910/49,379/87,992/176 is 1/750288

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

Greatest Common Factor of 910,379,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,379,992 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 910,379,992 . The biggest common factor number is the GCF number.
So the greatest common factor 910,379,992 is 1.

Lets's calculate LCM of 49,87,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 750288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/750288

Therefore, the GCF of Fractions 910/49,379/87,992/176 is 1/750288

Least Common Multiple of 49,87,176 with GCF Formula

Least Common Multiple of 49,87,176 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 49,87,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,87,176) = 1

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

GCF(49,87,176) x common factors =1 x 1 = 1

LCM(49,87,176) = ( 49 × 87 × 176 ) / 1

LCM(49,87,176) = 750288 / 1

LCM(49,87,176) = 750288


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 910/49, 379/87, 992/176

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 910/49, 379/87, 992/176?

Answer: GCF of Numerators as per given numbers 910/49, 379/87, 992/176 is

GCF of Numerators i.e. for 910,379,992 is 1

LCM of denominators i.e. for 49,87,176 is 750288.

Thus, GCF of Fractions is 1/750288.Finally, GCF of Fractions for 910/49, 379/87, 992/176 is 1/750288.