Greatest Common Factor of 7867/198, 9365/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7867/198, 9365/763

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 7867/198,9365/763

Given fractions are 7867/198,9365/763

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 7867,9365

Greatest Common Factor of Numerators i.e. GCF of 7867,9365 is 1 .

LCM of Denominators means LCM of 198,763 as per the given fractions.

LCM of 198,763 is 151074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7867,9365

GCF of Fractions 7867/198,9365/763 is 1/151074

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

Greatest Common Factor of 7867,9365 By Matching Biggest Common Factor Method

Greatest Common Factor of 7867,9365 By Matching Biggest Common Factor Method

Factors of 7867

List of positive integer factors of 7867 that divides 7867 without a remainder.

1,7867

Factors of 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1,5,1873,9365

Greatest Common Factor

We found the factors 7867,9365 . The biggest common factor number is the GCF number.
So the greatest common factor 7867,9365 is 1.

Lets's calculate LCM of 198,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 151074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151074

Therefore, the GCF of Fractions 7867/198,9365/763 is 1/151074

Least Common Multiple of 198,763 with GCF Formula

Least Common Multiple of 198,763 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 198,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,763) = 1

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

GCF(198,763) x common factors =1 x 1 = 1

LCM(198,763) = ( 198 × 763 ) / 1

LCM(198,763) = 151074 / 1

LCM(198,763) = 151074


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 7867/198, 9365/763

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 7867/198, 9365/763?

Answer: GCF of Numerators as per given numbers 7867/198, 9365/763 is

GCF of Numerators i.e. for 7867,9365 is 1

LCM of denominators i.e. for 198,763 is 151074.

Thus, GCF of Fractions is 1/151074.Finally, GCF of Fractions for 7867/198, 9365/763 is 1/151074.