Greatest Common Factor of 28/371, 468/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/371, 468/100

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 28/371,468/100

Given fractions are 28/371,468/100

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 28,468

Greatest Common Factor of Numerators i.e. GCF of 28,468 is 4 .

LCM of Denominators means LCM of 371,100 as per the given fractions.

LCM of 371,100 is 37100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,468

GCF of Fractions 28/371,468/100 is 4/37100

2 28, 468
2 14, 234
7, 117

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 28,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,468 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 28,468 . The biggest common factor number is the GCF number.
So the greatest common factor 28,468 is 4.

Lets's calculate LCM of 371,100

Given numbers has no common factors except 1. So, there LCM is their product i.e 37100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/37100

Therefore, the GCF of Fractions 28/371,468/100 is 4/37100

Least Common Multiple of 371,100 with GCF Formula

Least Common Multiple of 371,100 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 371,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,100) = 1

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

GCF(371,100) x common factors =1 x 1 = 1

LCM(371,100) = ( 371 × 100 ) / 1

LCM(371,100) = 37100 / 1

LCM(371,100) = 37100


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 28/371, 468/100

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 28/371, 468/100?

Answer: GCF of Numerators as per given numbers 28/371, 468/100 is

GCF of Numerators i.e. for 28,468 is 4

LCM of denominators i.e. for 371,100 is 37100.

Thus, GCF of Fractions is 4/37100.Finally, GCF of Fractions for 28/371, 468/100 is 4/37100.