Greatest Common Factor of 1491/35, 7358/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1491/35, 7358/203

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 1491/35,7358/203

Given fractions are 1491/35,7358/203

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 1491,7358

Greatest Common Factor of Numerators i.e. GCF of 1491,7358 is 1 .

LCM of Denominators means LCM of 35,203 as per the given fractions.

LCM of 35,203 is 1015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1491,7358

GCF of Fractions 1491/35,7358/203 is 1/1015

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

Greatest Common Factor of 1491,7358 By Matching Biggest Common Factor Method

Greatest Common Factor of 1491,7358 By Matching Biggest Common Factor Method

Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1,3,7,21,71,213,497,1491

Factors of 7358

List of positive integer factors of 7358 that divides 7358 without a remainder.

1,2,13,26,283,566,3679,7358

Greatest Common Factor

We found the factors 1491,7358 . The biggest common factor number is the GCF number.
So the greatest common factor 1491,7358 is 1.

Lets's calculate LCM of 35,203

7 35, 203
5, 29

∴ So the LCM of the given numbers is 7 x 5 x 29 = 1015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1015

Therefore, the GCF of Fractions 1491/35,7358/203 is 1/1015

Least Common Multiple of 35,203 with GCF Formula

Least Common Multiple of 35,203 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 35,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,203) = 7

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

GCF(35,203) x common factors =7 x 1 = 7

LCM(35,203) = ( 35 × 203 ) / 7

LCM(35,203) = 7105 / 7

LCM(35,203) = 1015


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 1491/35, 7358/203

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 1491/35, 7358/203?

Answer: GCF of Numerators as per given numbers 1491/35, 7358/203 is

GCF of Numerators i.e. for 1491,7358 is 1

LCM of denominators i.e. for 35,203 is 1015.

Thus, GCF of Fractions is 1/1015.Finally, GCF of Fractions for 1491/35, 7358/203 is 1/1015.