Greatest Common Factor of 9864/23, 7661/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9864/23, 7661/381

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 9864/23,7661/381

Given fractions are 9864/23,7661/381

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 9864,7661

Greatest Common Factor of Numerators i.e. GCF of 9864,7661 is 1 .

LCM of Denominators means LCM of 23,381 as per the given fractions.

LCM of 23,381 is 8763 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9864,7661

GCF of Fractions 9864/23,7661/381 is 1/8763

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

Greatest Common Factor of 9864,7661 By Matching Biggest Common Factor Method

Greatest Common Factor of 9864,7661 By Matching Biggest Common Factor Method

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Factors of 7661

List of positive integer factors of 7661 that divides 7661 without a remainder.

1,47,163,7661

Greatest Common Factor

We found the factors 9864,7661 . The biggest common factor number is the GCF number.
So the greatest common factor 9864,7661 is 1.

Lets's calculate LCM of 23,381

Given numbers has no common factors except 1. So, there LCM is their product i.e 8763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8763

Therefore, the GCF of Fractions 9864/23,7661/381 is 1/8763

Least Common Multiple of 23,381 with GCF Formula

Least Common Multiple of 23,381 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 23,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,381) = 1

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

GCF(23,381) x common factors =1 x 1 = 1

LCM(23,381) = ( 23 × 381 ) / 1

LCM(23,381) = 8763 / 1

LCM(23,381) = 8763


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 9864/23, 7661/381

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 9864/23, 7661/381?

Answer: GCF of Numerators as per given numbers 9864/23, 7661/381 is

GCF of Numerators i.e. for 9864,7661 is 1

LCM of denominators i.e. for 23,381 is 8763.

Thus, GCF of Fractions is 1/8763.Finally, GCF of Fractions for 9864/23, 7661/381 is 1/8763.