Greatest Common Factor of 100/492, 2127/5602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 100/492, 2127/5602

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 100/492,2127/5602

Given fractions are 100/492,2127/5602

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 100,2127

Greatest Common Factor of Numerators i.e. GCF of 100,2127 is 1 .

LCM of Denominators means LCM of 492,5602 as per the given fractions.

LCM of 492,5602 is 1378092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 100,2127

GCF of Fractions 100/492,2127/5602 is 1/1378092

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

Greatest Common Factor of 100,2127 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,2127 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1,3,709,2127

Greatest Common Factor

We found the factors 100,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 100,2127 is 1.

Lets's calculate LCM of 492,5602

2 492, 5602
246, 2801

∴ So the LCM of the given numbers is 2 x 246 x 2801 = 1378092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1378092

Therefore, the GCF of Fractions 100/492,2127/5602 is 1/1378092

Least Common Multiple of 492,5602 with GCF Formula

Least Common Multiple of 492,5602 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 492,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,5602) = 2

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

GCF(492,5602) x common factors =2 x 1 = 2

LCM(492,5602) = ( 492 × 5602 ) / 2

LCM(492,5602) = 2756184 / 2

LCM(492,5602) = 1378092


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 100/492, 2127/5602

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 100/492, 2127/5602?

Answer: GCF of Numerators as per given numbers 100/492, 2127/5602 is

GCF of Numerators i.e. for 100,2127 is 1

LCM of denominators i.e. for 492,5602 is 1378092.

Thus, GCF of Fractions is 1/1378092.Finally, GCF of Fractions for 100/492, 2127/5602 is 1/1378092.