Greatest Common Factor of 4098/971, 1253/7353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4098/971, 1253/7353

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 4098/971,1253/7353

Given fractions are 4098/971,1253/7353

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 4098,1253

Greatest Common Factor of Numerators i.e. GCF of 4098,1253 is 1 .

LCM of Denominators means LCM of 971,7353 as per the given fractions.

LCM of 971,7353 is 7139763 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4098,1253

GCF of Fractions 4098/971,1253/7353 is 1/7139763

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

Greatest Common Factor of 4098,1253 By Matching Biggest Common Factor Method

Greatest Common Factor of 4098,1253 By Matching Biggest Common Factor Method

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1,2,3,6,683,1366,2049,4098

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1,7,179,1253

Greatest Common Factor

We found the factors 4098,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 4098,1253 is 1.

Lets's calculate LCM of 971,7353

Given numbers has no common factors except 1. So, there LCM is their product i.e 7139763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7139763

Therefore, the GCF of Fractions 4098/971,1253/7353 is 1/7139763

Least Common Multiple of 971,7353 with GCF Formula

Least Common Multiple of 971,7353 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 971,7353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,7353) = 1

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

GCF(971,7353) x common factors =1 x 1 = 1

LCM(971,7353) = ( 971 × 7353 ) / 1

LCM(971,7353) = 7139763 / 1

LCM(971,7353) = 7139763


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 4098/971, 1253/7353

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 4098/971, 1253/7353?

Answer: GCF of Numerators as per given numbers 4098/971, 1253/7353 is

GCF of Numerators i.e. for 4098,1253 is 1

LCM of denominators i.e. for 971,7353 is 7139763.

Thus, GCF of Fractions is 1/7139763.Finally, GCF of Fractions for 4098/971, 1253/7353 is 1/7139763.