Greatest Common Factor of 9760/68, 7103/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9760/68, 7103/492

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 9760/68,7103/492

Given fractions are 9760/68,7103/492

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 9760,7103

Greatest Common Factor of Numerators i.e. GCF of 9760,7103 is 1 .

LCM of Denominators means LCM of 68,492 as per the given fractions.

LCM of 68,492 is 8364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9760,7103

GCF of Fractions 9760/68,7103/492 is 1/8364

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

Greatest Common Factor of 9760,7103 By Matching Biggest Common Factor Method

Greatest Common Factor of 9760,7103 By Matching Biggest Common Factor Method

Factors of 9760

List of positive integer factors of 9760 that divides 9760 without a remainder.

1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760

Factors of 7103

List of positive integer factors of 7103 that divides 7103 without a remainder.

1,7103

Greatest Common Factor

We found the factors 9760,7103 . The biggest common factor number is the GCF number.
So the greatest common factor 9760,7103 is 1.

Lets's calculate LCM of 68,492

2 68, 492
2 34, 246
17, 123

∴ So the LCM of the given numbers is 2 x 2 x 17 x 123 = 8364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8364

Therefore, the GCF of Fractions 9760/68,7103/492 is 1/8364

Least Common Multiple of 68,492 with GCF Formula

Least Common Multiple of 68,492 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 68,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,492) = 4

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

GCF(68,492) x common factors =4 x 1 = 4

LCM(68,492) = ( 68 × 492 ) / 4

LCM(68,492) = 33456 / 4

LCM(68,492) = 8364


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 9760/68, 7103/492

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 9760/68, 7103/492?

Answer: GCF of Numerators as per given numbers 9760/68, 7103/492 is

GCF of Numerators i.e. for 9760,7103 is 1

LCM of denominators i.e. for 68,492 is 8364.

Thus, GCF of Fractions is 1/8364.Finally, GCF of Fractions for 9760/68, 7103/492 is 1/8364.