Greatest Common Factor of 865/97, 9750/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/97, 9750/103

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 865/97,9750/103

Given fractions are 865/97,9750/103

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 865,9750

Greatest Common Factor of Numerators i.e. GCF of 865,9750 is 5 .

LCM of Denominators means LCM of 97,103 as per the given fractions.

LCM of 97,103 is 9991 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,9750

GCF of Fractions 865/97,9750/103 is 5/9991

5 865, 9750
173, 1950

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 865,9750 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,9750 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750

Greatest Common Factor

We found the factors 865,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 865,9750 is 5.

Lets's calculate LCM of 97,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 9991

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9991

Therefore, the GCF of Fractions 865/97,9750/103 is 5/9991

Least Common Multiple of 97,103 with GCF Formula

Least Common Multiple of 97,103 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 97,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,103) = 1

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

GCF(97,103) x common factors =1 x 1 = 1

LCM(97,103) = ( 97 × 103 ) / 1

LCM(97,103) = 9991 / 1

LCM(97,103) = 9991


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 865/97, 9750/103

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 865/97, 9750/103?

Answer: GCF of Numerators as per given numbers 865/97, 9750/103 is

GCF of Numerators i.e. for 865,9750 is 5

LCM of denominators i.e. for 97,103 is 9991.

Thus, GCF of Fractions is 5/9991.Finally, GCF of Fractions for 865/97, 9750/103 is 5/9991.