Greatest Common Factor of 872/28, 421/66, 408/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/28, 421/66, 408/690

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 872/28,421/66,408/690

Given fractions are 872/28,421/66,408/690

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 872,421,408

Greatest Common Factor of Numerators i.e. GCF of 872,421,408 is 1 .

LCM of Denominators means LCM of 28,66,690 as per the given fractions.

LCM of 28,66,690 is 106260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,421,408

GCF of Fractions 872/28,421/66,408/690 is 1/106260

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

Greatest Common Factor of 872,421,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,421,408 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 872,421,408 . The biggest common factor number is the GCF number.
So the greatest common factor 872,421,408 is 1.

Lets's calculate LCM of 28,66,690

2 28, 66, 690
3 14, 33, 345
14, 11, 115

∴ So the LCM of the given numbers is 2 x 3 x 14 x 11 x 115 = 106260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106260

Therefore, the GCF of Fractions 872/28,421/66,408/690 is 1/106260

Least Common Multiple of 28,66,690 with GCF Formula

Least Common Multiple of 28,66,690 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 28,66,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,66,690) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(28,66,690) x common factors =2 x 6 = 12

LCM(28,66,690) = ( 28 × 66 × 690 ) / 12

LCM(28,66,690) = 1275120 / 12

LCM(28,66,690) = 106260


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 872/28, 421/66, 408/690

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 872/28, 421/66, 408/690?

Answer: GCF of Numerators as per given numbers 872/28, 421/66, 408/690 is

GCF of Numerators i.e. for 872,421,408 is 1

LCM of denominators i.e. for 28,66,690 is 106260.

Thus, GCF of Fractions is 1/106260.Finally, GCF of Fractions for 872/28, 421/66, 408/690 is 1/106260.