Greatest Common Factor of 420/51, 900/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/51, 900/628

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 420/51,900/628

Given fractions are 420/51,900/628

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 420,900

Greatest Common Factor of Numerators i.e. GCF of 420,900 is 60 .

LCM of Denominators means LCM of 51,628 as per the given fractions.

LCM of 51,628 is 32028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,900

GCF of Fractions 420/51,900/628 is 60/32028

2 420, 900
2 210, 450
3 105, 225
5 35, 75
7, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 420,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,900 By Matching Biggest Common Factor Method

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 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 420,900 . The biggest common factor number is the GCF number.
So the greatest common factor 420,900 is 60.

Lets's calculate LCM of 51,628

Given numbers has no common factors except 1. So, there LCM is their product i.e 32028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/32028

Therefore, the GCF of Fractions 420/51,900/628 is 60/32028

Least Common Multiple of 51,628 with GCF Formula

Least Common Multiple of 51,628 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 51,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,628) = 1

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

GCF(51,628) x common factors =1 x 1 = 1

LCM(51,628) = ( 51 × 628 ) / 1

LCM(51,628) = 32028 / 1

LCM(51,628) = 32028


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 420/51, 900/628

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 420/51, 900/628?

Answer: GCF of Numerators as per given numbers 420/51, 900/628 is

GCF of Numerators i.e. for 420,900 is 60

LCM of denominators i.e. for 51,628 is 32028.

Thus, GCF of Fractions is 60/32028.Finally, GCF of Fractions for 420/51, 900/628 is 60/32028.