Greatest Common Factor of 5101/125, 3521/1222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5101/125, 3521/1222

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 5101/125,3521/1222

Given fractions are 5101/125,3521/1222

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 5101,3521

Greatest Common Factor of Numerators i.e. GCF of 5101,3521 is 1 .

LCM of Denominators means LCM of 125,1222 as per the given fractions.

LCM of 125,1222 is 152750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5101,3521

GCF of Fractions 5101/125,3521/1222 is 1/152750

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

Greatest Common Factor of 5101,3521 By Matching Biggest Common Factor Method

Greatest Common Factor of 5101,3521 By Matching Biggest Common Factor Method

Factors of 5101

List of positive integer factors of 5101 that divides 5101 without a remainder.

1,5101

Factors of 3521

List of positive integer factors of 3521 that divides 3521 without a remainder.

1,7,503,3521

Greatest Common Factor

We found the factors 5101,3521 . The biggest common factor number is the GCF number.
So the greatest common factor 5101,3521 is 1.

Lets's calculate LCM of 125,1222

Given numbers has no common factors except 1. So, there LCM is their product i.e 152750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152750

Therefore, the GCF of Fractions 5101/125,3521/1222 is 1/152750

Least Common Multiple of 125,1222 with GCF Formula

Least Common Multiple of 125,1222 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 125,1222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,1222) = 1

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

GCF(125,1222) x common factors =1 x 1 = 1

LCM(125,1222) = ( 125 × 1222 ) / 1

LCM(125,1222) = 152750 / 1

LCM(125,1222) = 152750


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 5101/125, 3521/1222

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 5101/125, 3521/1222?

Answer: GCF of Numerators as per given numbers 5101/125, 3521/1222 is

GCF of Numerators i.e. for 5101,3521 is 1

LCM of denominators i.e. for 125,1222 is 152750.

Thus, GCF of Fractions is 1/152750.Finally, GCF of Fractions for 5101/125, 3521/1222 is 1/152750.