Greatest Common Factor of 5502/315, 8401/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5502/315, 8401/637

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 5502/315,8401/637

Given fractions are 5502/315,8401/637

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 5502,8401

Greatest Common Factor of Numerators i.e. GCF of 5502,8401 is 1 .

LCM of Denominators means LCM of 315,637 as per the given fractions.

LCM of 315,637 is 28665 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5502,8401

GCF of Fractions 5502/315,8401/637 is 1/28665

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

Greatest Common Factor of 5502,8401 By Matching Biggest Common Factor Method

Greatest Common Factor of 5502,8401 By Matching Biggest Common Factor Method

Factors of 5502

List of positive integer factors of 5502 that divides 5502 without a remainder.

1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1,31,271,8401

Greatest Common Factor

We found the factors 5502,8401 . The biggest common factor number is the GCF number.
So the greatest common factor 5502,8401 is 1.

Lets's calculate LCM of 315,637

7 315, 637
45, 91

∴ So the LCM of the given numbers is 7 x 45 x 91 = 28665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28665

Therefore, the GCF of Fractions 5502/315,8401/637 is 1/28665

Least Common Multiple of 315,637 with GCF Formula

Least Common Multiple of 315,637 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 315,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,637) = 7

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

GCF(315,637) x common factors =7 x 1 = 7

LCM(315,637) = ( 315 × 637 ) / 7

LCM(315,637) = 200655 / 7

LCM(315,637) = 28665


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 5502/315, 8401/637

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 5502/315, 8401/637?

Answer: GCF of Numerators as per given numbers 5502/315, 8401/637 is

GCF of Numerators i.e. for 5502,8401 is 1

LCM of denominators i.e. for 315,637 is 28665.

Thus, GCF of Fractions is 1/28665.Finally, GCF of Fractions for 5502/315, 8401/637 is 1/28665.