Greatest Common Factor of 992/274, 7215/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 992/274, 7215/830

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 992/274,7215/830

Given fractions are 992/274,7215/830

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 992,7215

Greatest Common Factor of Numerators i.e. GCF of 992,7215 is 1 .

LCM of Denominators means LCM of 274,830 as per the given fractions.

LCM of 274,830 is 113710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 992,7215

GCF of Fractions 992/274,7215/830 is 1/113710

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

Greatest Common Factor of 992,7215 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,7215 By Matching Biggest Common Factor Method

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

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Greatest Common Factor

We found the factors 992,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 992,7215 is 1.

Lets's calculate LCM of 274,830

2 274, 830
137, 415

∴ So the LCM of the given numbers is 2 x 137 x 415 = 113710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113710

Therefore, the GCF of Fractions 992/274,7215/830 is 1/113710

Least Common Multiple of 274,830 with GCF Formula

Least Common Multiple of 274,830 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 274,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,830) = 2

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

GCF(274,830) x common factors =2 x 1 = 2

LCM(274,830) = ( 274 × 830 ) / 2

LCM(274,830) = 227420 / 2

LCM(274,830) = 113710


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 992/274, 7215/830

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 992/274, 7215/830?

Answer: GCF of Numerators as per given numbers 992/274, 7215/830 is

GCF of Numerators i.e. for 992,7215 is 1

LCM of denominators i.e. for 274,830 is 113710.

Thus, GCF of Fractions is 1/113710.Finally, GCF of Fractions for 992/274, 7215/830 is 1/113710.