Greatest Common Factor of 784/820, 690/471, 461/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 784/820, 690/471, 461/422

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 784/820,690/471,461/422

Given fractions are 784/820,690/471,461/422

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 784,690,461

Greatest Common Factor of Numerators i.e. GCF of 784,690,461 is 1 .

LCM of Denominators means LCM of 820,471,422 as per the given fractions.

LCM of 820,471,422 is 81492420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 784,690,461

GCF of Fractions 784/820,690/471,461/422 is 1/81492420

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 784,690,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,690,461 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 784,690,461 . The biggest common factor number is the GCF number.
So the greatest common factor 784,690,461 is 1.

Lets's calculate LCM of 820,471,422

2 820, 471, 422
410, 471, 211

∴ So the LCM of the given numbers is 2 x 410 x 471 x 211 = 81492420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81492420

Therefore, the GCF of Fractions 784/820,690/471,461/422 is 1/81492420

Least Common Multiple of 820,471,422 with GCF Formula

Least Common Multiple of 820,471,422 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 820,471,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,471,422) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(820,471,422) x common factors =1 x 2 = 2

LCM(820,471,422) = ( 820 × 471 × 422 ) / 2

LCM(820,471,422) = 162984840 / 2

LCM(820,471,422) = 81492420


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 784/820, 690/471, 461/422

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 784/820, 690/471, 461/422?

Answer: GCF of Numerators as per given numbers 784/820, 690/471, 461/422 is

GCF of Numerators i.e. for 784,690,461 is 1

LCM of denominators i.e. for 820,471,422 is 81492420.

Thus, GCF of Fractions is 1/81492420.Finally, GCF of Fractions for 784/820, 690/471, 461/422 is 1/81492420.