Greatest Common Factor of 872/31, 420/77, 450/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/31, 420/77, 450/14

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 872/31,420/77,450/14

Given fractions are 872/31,420/77,450/14

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 872,420,450

Greatest Common Factor of Numerators i.e. GCF of 872,420,450 is 2 .

LCM of Denominators means LCM of 31,77,14 as per the given fractions.

LCM of 31,77,14 is 4774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,420,450

GCF of Fractions 872/31,420/77,450/14 is 2/4774

2 872, 420, 450
436, 210, 225

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

Greatest Common Factor of 872,420,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,420,450 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 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 872,420,450 . The biggest common factor number is the GCF number.
So the greatest common factor 872,420,450 is 2.

Lets's calculate LCM of 31,77,14

7 31, 77, 14
31, 11, 2

∴ So the LCM of the given numbers is 7 x 31 x 11 x 2 = 4774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4774

Therefore, the GCF of Fractions 872/31,420/77,450/14 is 2/4774

Least Common Multiple of 31,77,14 with GCF Formula

Least Common Multiple of 31,77,14 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 31,77,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,77,14) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(31,77,14) x common factors =1 x 7 = 7

LCM(31,77,14) = ( 31 × 77 × 14 ) / 7

LCM(31,77,14) = 33418 / 7

LCM(31,77,14) = 4774


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 872/31, 420/77, 450/14

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 872/31, 420/77, 450/14?

Answer: GCF of Numerators as per given numbers 872/31, 420/77, 450/14 is

GCF of Numerators i.e. for 872,420,450 is 2

LCM of denominators i.e. for 31,77,14 is 4774.

Thus, GCF of Fractions is 2/4774.Finally, GCF of Fractions for 872/31, 420/77, 450/14 is 2/4774.