Greatest Common Factor of 822/79, 559/71, 310/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 822/79, 559/71, 310/69

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 822/79,559/71,310/69

Given fractions are 822/79,559/71,310/69

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 822,559,310

Greatest Common Factor of Numerators i.e. GCF of 822,559,310 is 1 .

LCM of Denominators means LCM of 79,71,69 as per the given fractions.

LCM of 79,71,69 is 387021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 822,559,310

GCF of Fractions 822/79,559/71,310/69 is 1/387021

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

Greatest Common Factor of 822,559,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,559,310 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 822,559,310 . The biggest common factor number is the GCF number.
So the greatest common factor 822,559,310 is 1.

Lets's calculate LCM of 79,71,69

Given numbers has no common factors except 1. So, there LCM is their product i.e 387021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387021

Therefore, the GCF of Fractions 822/79,559/71,310/69 is 1/387021

Least Common Multiple of 79,71,69 with GCF Formula

Least Common Multiple of 79,71,69 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 79,71,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,71,69) = 1

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

GCF(79,71,69) x common factors =1 x 1 = 1

LCM(79,71,69) = ( 79 × 71 × 69 ) / 1

LCM(79,71,69) = 387021 / 1

LCM(79,71,69) = 387021


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 822/79, 559/71, 310/69

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 822/79, 559/71, 310/69?

Answer: GCF of Numerators as per given numbers 822/79, 559/71, 310/69 is

GCF of Numerators i.e. for 822,559,310 is 1

LCM of denominators i.e. for 79,71,69 is 387021.

Thus, GCF of Fractions is 1/387021.Finally, GCF of Fractions for 822/79, 559/71, 310/69 is 1/387021.