Greatest Common Factor of 62/400, 900/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/400, 900/821

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 62/400,900/821

Given fractions are 62/400,900/821

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 62,900

Greatest Common Factor of Numerators i.e. GCF of 62,900 is 2 .

LCM of Denominators means LCM of 400,821 as per the given fractions.

LCM of 400,821 is 328400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,900

GCF of Fractions 62/400,900/821 is 2/328400

2 62, 900
31, 450

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

Greatest Common Factor of 62,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,900 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 62,900 . The biggest common factor number is the GCF number.
So the greatest common factor 62,900 is 2.

Lets's calculate LCM of 400,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 328400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328400

Therefore, the GCF of Fractions 62/400,900/821 is 2/328400

Least Common Multiple of 400,821 with GCF Formula

Least Common Multiple of 400,821 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 400,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,821) = 1

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

GCF(400,821) x common factors =1 x 1 = 1

LCM(400,821) = ( 400 × 821 ) / 1

LCM(400,821) = 328400 / 1

LCM(400,821) = 328400


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 62/400, 900/821

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 62/400, 900/821?

Answer: GCF of Numerators as per given numbers 62/400, 900/821 is

GCF of Numerators i.e. for 62,900 is 2

LCM of denominators i.e. for 400,821 is 328400.

Thus, GCF of Fractions is 2/328400.Finally, GCF of Fractions for 62/400, 900/821 is 2/328400.