Greatest Common Factor of 872/87, 830/84, 212/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/87, 830/84, 212/424

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 872/87,830/84,212/424

Given fractions are 872/87,830/84,212/424

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 872,830,212

Greatest Common Factor of Numerators i.e. GCF of 872,830,212 is 2 .

LCM of Denominators means LCM of 87,84,424 as per the given fractions.

LCM of 87,84,424 is 258216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,830,212

GCF of Fractions 872/87,830/84,212/424 is 2/258216

2 872, 830, 212
436, 415, 106

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

Greatest Common Factor of 872,830,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,830,212 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 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 872,830,212 . The biggest common factor number is the GCF number.
So the greatest common factor 872,830,212 is 2.

Lets's calculate LCM of 87,84,424

2 87, 84, 424
2 87, 42, 212
3 87, 21, 106
29, 7, 106

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 7 x 106 = 258216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/258216

Therefore, the GCF of Fractions 872/87,830/84,212/424 is 2/258216

Least Common Multiple of 87,84,424 with GCF Formula

Least Common Multiple of 87,84,424 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 87,84,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,84,424) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(87,84,424) x common factors =1 x 12 = 12

LCM(87,84,424) = ( 87 × 84 × 424 ) / 12

LCM(87,84,424) = 3098592 / 12

LCM(87,84,424) = 258216


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 872/87, 830/84, 212/424

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 872/87, 830/84, 212/424?

Answer: GCF of Numerators as per given numbers 872/87, 830/84, 212/424 is

GCF of Numerators i.e. for 872,830,212 is 2

LCM of denominators i.e. for 87,84,424 is 258216.

Thus, GCF of Fractions is 2/258216.Finally, GCF of Fractions for 872/87, 830/84, 212/424 is 2/258216.