Greatest Common Factor of 485/822, 839/347, 689/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 485/822, 839/347, 689/826

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 485/822,839/347,689/826

Given fractions are 485/822,839/347,689/826

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 485,839,689

Greatest Common Factor of Numerators i.e. GCF of 485,839,689 is 1 .

LCM of Denominators means LCM of 822,347,826 as per the given fractions.

LCM of 822,347,826 is 117801642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 485,839,689

GCF of Fractions 485/822,839/347,689/826 is 1/117801642

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

Greatest Common Factor of 485,839,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,839,689 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 485,839,689 . The biggest common factor number is the GCF number.
So the greatest common factor 485,839,689 is 1.

Lets's calculate LCM of 822,347,826

2 822, 347, 826
411, 347, 413

∴ So the LCM of the given numbers is 2 x 411 x 347 x 413 = 117801642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117801642

Therefore, the GCF of Fractions 485/822,839/347,689/826 is 1/117801642

Least Common Multiple of 822,347,826 with GCF Formula

Least Common Multiple of 822,347,826 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 822,347,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,347,826) = 1

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

GCF(822,347,826) x common factors =1 x 2 = 2

LCM(822,347,826) = ( 822 × 347 × 826 ) / 2

LCM(822,347,826) = 235603284 / 2

LCM(822,347,826) = 117801642


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 485/822, 839/347, 689/826

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 485/822, 839/347, 689/826?

Answer: GCF of Numerators as per given numbers 485/822, 839/347, 689/826 is

GCF of Numerators i.e. for 485,839,689 is 1

LCM of denominators i.e. for 822,347,826 is 117801642.

Thus, GCF of Fractions is 1/117801642.Finally, GCF of Fractions for 485/822, 839/347, 689/826 is 1/117801642.