Greatest Common Factor of 101/626, 1119/5164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/626, 1119/5164

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 101/626,1119/5164

Given fractions are 101/626,1119/5164

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 101,1119

Greatest Common Factor of Numerators i.e. GCF of 101,1119 is 1 .

LCM of Denominators means LCM of 626,5164 as per the given fractions.

LCM of 626,5164 is 1616332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,1119

GCF of Fractions 101/626,1119/5164 is 1/1616332

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

Greatest Common Factor of 101,1119 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,1119 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 1119

List of positive integer factors of 1119 that divides 1119 without a remainder.

1,3,373,1119

Greatest Common Factor

We found the factors 101,1119 . The biggest common factor number is the GCF number.
So the greatest common factor 101,1119 is 1.

Lets's calculate LCM of 626,5164

2 626, 5164
313, 2582

∴ So the LCM of the given numbers is 2 x 313 x 2582 = 1616332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1616332

Therefore, the GCF of Fractions 101/626,1119/5164 is 1/1616332

Least Common Multiple of 626,5164 with GCF Formula

Least Common Multiple of 626,5164 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 626,5164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,5164) = 2

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

GCF(626,5164) x common factors =2 x 1 = 2

LCM(626,5164) = ( 626 × 5164 ) / 2

LCM(626,5164) = 3232664 / 2

LCM(626,5164) = 1616332


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 101/626, 1119/5164

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 101/626, 1119/5164?

Answer: GCF of Numerators as per given numbers 101/626, 1119/5164 is

GCF of Numerators i.e. for 101,1119 is 1

LCM of denominators i.e. for 626,5164 is 1616332.

Thus, GCF of Fractions is 1/1616332.Finally, GCF of Fractions for 101/626, 1119/5164 is 1/1616332.