Greatest Common Factor of 9035/78, 7441/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9035/78, 7441/984

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 9035/78,7441/984

Given fractions are 9035/78,7441/984

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 9035,7441

Greatest Common Factor of Numerators i.e. GCF of 9035,7441 is 1 .

LCM of Denominators means LCM of 78,984 as per the given fractions.

LCM of 78,984 is 12792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9035,7441

GCF of Fractions 9035/78,7441/984 is 1/12792

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

Greatest Common Factor of 9035,7441 By Matching Biggest Common Factor Method

Greatest Common Factor of 9035,7441 By Matching Biggest Common Factor Method

Factors of 9035

List of positive integer factors of 9035 that divides 9035 without a remainder.

1,5,13,65,139,695,1807,9035

Factors of 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1,7,1063,7441

Greatest Common Factor

We found the factors 9035,7441 . The biggest common factor number is the GCF number.
So the greatest common factor 9035,7441 is 1.

Lets's calculate LCM of 78,984

2 78, 984
3 39, 492
13, 164

∴ So the LCM of the given numbers is 2 x 3 x 13 x 164 = 12792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12792

Therefore, the GCF of Fractions 9035/78,7441/984 is 1/12792

Least Common Multiple of 78,984 with GCF Formula

Least Common Multiple of 78,984 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 78,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,984) = 6

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

GCF(78,984) x common factors =6 x 1 = 6

LCM(78,984) = ( 78 × 984 ) / 6

LCM(78,984) = 76752 / 6

LCM(78,984) = 12792


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 9035/78, 7441/984

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 9035/78, 7441/984?

Answer: GCF of Numerators as per given numbers 9035/78, 7441/984 is

GCF of Numerators i.e. for 9035,7441 is 1

LCM of denominators i.e. for 78,984 is 12792.

Thus, GCF of Fractions is 1/12792.Finally, GCF of Fractions for 9035/78, 7441/984 is 1/12792.