Greatest Common Factor of 7927/496, 5838/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7927/496, 5838/970

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 7927/496,5838/970

Given fractions are 7927/496,5838/970

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 7927,5838

Greatest Common Factor of Numerators i.e. GCF of 7927,5838 is 1 .

LCM of Denominators means LCM of 496,970 as per the given fractions.

LCM of 496,970 is 240560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7927,5838

GCF of Fractions 7927/496,5838/970 is 1/240560

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

Greatest Common Factor of 7927,5838 By Matching Biggest Common Factor Method

Greatest Common Factor of 7927,5838 By Matching Biggest Common Factor Method

Factors of 7927

List of positive integer factors of 7927 that divides 7927 without a remainder.

1,7927

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838

Greatest Common Factor

We found the factors 7927,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 7927,5838 is 1.

Lets's calculate LCM of 496,970

2 496, 970
248, 485

∴ So the LCM of the given numbers is 2 x 248 x 485 = 240560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240560

Therefore, the GCF of Fractions 7927/496,5838/970 is 1/240560

Least Common Multiple of 496,970 with GCF Formula

Least Common Multiple of 496,970 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 496,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,970) = 2

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

GCF(496,970) x common factors =2 x 1 = 2

LCM(496,970) = ( 496 × 970 ) / 2

LCM(496,970) = 481120 / 2

LCM(496,970) = 240560


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 7927/496, 5838/970

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 7927/496, 5838/970?

Answer: GCF of Numerators as per given numbers 7927/496, 5838/970 is

GCF of Numerators i.e. for 7927,5838 is 1

LCM of denominators i.e. for 496,970 is 240560.

Thus, GCF of Fractions is 1/240560.Finally, GCF of Fractions for 7927/496, 5838/970 is 1/240560.