Greatest Common Factor of 5351/387, 3531/9125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5351/387, 3531/9125

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 5351/387,3531/9125

Given fractions are 5351/387,3531/9125

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 5351,3531

Greatest Common Factor of Numerators i.e. GCF of 5351,3531 is 1 .

LCM of Denominators means LCM of 387,9125 as per the given fractions.

LCM of 387,9125 is 3531375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5351,3531

GCF of Fractions 5351/387,3531/9125 is 1/3531375

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

Greatest Common Factor of 5351,3531 By Matching Biggest Common Factor Method

Greatest Common Factor of 5351,3531 By Matching Biggest Common Factor Method

Factors of 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1,5351

Factors of 3531

List of positive integer factors of 3531 that divides 3531 without a remainder.

1,3,11,33,107,321,1177,3531

Greatest Common Factor

We found the factors 5351,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 5351,3531 is 1.

Lets's calculate LCM of 387,9125

Given numbers has no common factors except 1. So, there LCM is their product i.e 3531375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3531375

Therefore, the GCF of Fractions 5351/387,3531/9125 is 1/3531375

Least Common Multiple of 387,9125 with GCF Formula

Least Common Multiple of 387,9125 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 387,9125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,9125) = 1

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

GCF(387,9125) x common factors =1 x 1 = 1

LCM(387,9125) = ( 387 × 9125 ) / 1

LCM(387,9125) = 3531375 / 1

LCM(387,9125) = 3531375


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 5351/387, 3531/9125

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 5351/387, 3531/9125?

Answer: GCF of Numerators as per given numbers 5351/387, 3531/9125 is

GCF of Numerators i.e. for 5351,3531 is 1

LCM of denominators i.e. for 387,9125 is 3531375.

Thus, GCF of Fractions is 1/3531375.Finally, GCF of Fractions for 5351/387, 3531/9125 is 1/3531375.