Greatest Common Factor of 984/75, 269/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 984/75, 269/697

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 984/75,269/697

Given fractions are 984/75,269/697

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 984,269

Greatest Common Factor of Numerators i.e. GCF of 984,269 is 1 .

LCM of Denominators means LCM of 75,697 as per the given fractions.

LCM of 75,697 is 52275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 984,269

GCF of Fractions 984/75,269/697 is 1/52275

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

Greatest Common Factor of 984,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,269 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 984,269 . The biggest common factor number is the GCF number.
So the greatest common factor 984,269 is 1.

Lets's calculate LCM of 75,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 52275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52275

Therefore, the GCF of Fractions 984/75,269/697 is 1/52275

Least Common Multiple of 75,697 with GCF Formula

Least Common Multiple of 75,697 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 75,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,697) = 1

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

GCF(75,697) x common factors =1 x 1 = 1

LCM(75,697) = ( 75 × 697 ) / 1

LCM(75,697) = 52275 / 1

LCM(75,697) = 52275


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 984/75, 269/697

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 984/75, 269/697?

Answer: GCF of Numerators as per given numbers 984/75, 269/697 is

GCF of Numerators i.e. for 984,269 is 1

LCM of denominators i.e. for 75,697 is 52275.

Thus, GCF of Fractions is 1/52275.Finally, GCF of Fractions for 984/75, 269/697 is 1/52275.