Greatest Common Factor of 21/700, 84/647, 825/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/700, 84/647, 825/788

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 21/700,84/647,825/788

Given fractions are 21/700,84/647,825/788

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 21,84,825

Greatest Common Factor of Numerators i.e. GCF of 21,84,825 is 3 .

LCM of Denominators means LCM of 700,647,788 as per the given fractions.

LCM of 700,647,788 is 89221300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,84,825

GCF of Fractions 21/700,84/647,825/788 is 3/89221300

3 21, 84, 825
7, 28, 275

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 21,84,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,84,825 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 21,84,825 . The biggest common factor number is the GCF number.
So the greatest common factor 21,84,825 is 3.

Lets's calculate LCM of 700,647,788

2 700, 647, 788
2 350, 647, 394
175, 647, 197

∴ So the LCM of the given numbers is 2 x 2 x 175 x 647 x 197 = 89221300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89221300

Therefore, the GCF of Fractions 21/700,84/647,825/788 is 3/89221300

Least Common Multiple of 700,647,788 with GCF Formula

Least Common Multiple of 700,647,788 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 700,647,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,647,788) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(700,647,788) x common factors =1 x 4 = 4

LCM(700,647,788) = ( 700 × 647 × 788 ) / 4

LCM(700,647,788) = 356885200 / 4

LCM(700,647,788) = 89221300


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 21/700, 84/647, 825/788

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 21/700, 84/647, 825/788?

Answer: GCF of Numerators as per given numbers 21/700, 84/647, 825/788 is

GCF of Numerators i.e. for 21,84,825 is 3

LCM of denominators i.e. for 700,647,788 is 89221300.

Thus, GCF of Fractions is 3/89221300.Finally, GCF of Fractions for 21/700, 84/647, 825/788 is 3/89221300.