Greatest Common Factor of 7195/531, 3513/1026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7195/531, 3513/1026

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 7195/531,3513/1026

Given fractions are 7195/531,3513/1026

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 7195,3513

Greatest Common Factor of Numerators i.e. GCF of 7195,3513 is 1 .

LCM of Denominators means LCM of 531,1026 as per the given fractions.

LCM of 531,1026 is 60534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7195,3513

GCF of Fractions 7195/531,3513/1026 is 1/60534

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

Greatest Common Factor of 7195,3513 By Matching Biggest Common Factor Method

Greatest Common Factor of 7195,3513 By Matching Biggest Common Factor Method

Factors of 7195

List of positive integer factors of 7195 that divides 7195 without a remainder.

1,5,1439,7195

Factors of 3513

List of positive integer factors of 3513 that divides 3513 without a remainder.

1,3,1171,3513

Greatest Common Factor

We found the factors 7195,3513 . The biggest common factor number is the GCF number.
So the greatest common factor 7195,3513 is 1.

Lets's calculate LCM of 531,1026

3 531, 1026
3 177, 342
59, 114

∴ So the LCM of the given numbers is 3 x 3 x 59 x 114 = 60534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60534

Therefore, the GCF of Fractions 7195/531,3513/1026 is 1/60534

Least Common Multiple of 531,1026 with GCF Formula

Least Common Multiple of 531,1026 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 531,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,1026) = 9

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

GCF(531,1026) x common factors =9 x 1 = 9

LCM(531,1026) = ( 531 × 1026 ) / 9

LCM(531,1026) = 544806 / 9

LCM(531,1026) = 60534


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 7195/531, 3513/1026

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 7195/531, 3513/1026?

Answer: GCF of Numerators as per given numbers 7195/531, 3513/1026 is

GCF of Numerators i.e. for 7195,3513 is 1

LCM of denominators i.e. for 531,1026 is 60534.

Thus, GCF of Fractions is 1/60534.Finally, GCF of Fractions for 7195/531, 3513/1026 is 1/60534.