Greatest Common Factor of 839/29, 986/84, 106/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 839/29, 986/84, 106/319

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 839/29,986/84,106/319

Given fractions are 839/29,986/84,106/319

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 839,986,106

Greatest Common Factor of Numerators i.e. GCF of 839,986,106 is 1 .

LCM of Denominators means LCM of 29,84,319 as per the given fractions.

LCM of 29,84,319 is 26796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 839,986,106

GCF of Fractions 839/29,986/84,106/319 is 1/26796

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

Greatest Common Factor of 839,986,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,986,106 By Matching Biggest Common Factor Method

Factors of 839

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

1,839

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 839,986,106 . The biggest common factor number is the GCF number.
So the greatest common factor 839,986,106 is 1.

Lets's calculate LCM of 29,84,319

29 29, 84, 319
1, 84, 11

∴ So the LCM of the given numbers is 29 x 1 x 84 x 11 = 26796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26796

Therefore, the GCF of Fractions 839/29,986/84,106/319 is 1/26796

Least Common Multiple of 29,84,319 with GCF Formula

Least Common Multiple of 29,84,319 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 29,84,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,84,319) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,84,319) x common factors =1 x 29 = 29

LCM(29,84,319) = ( 29 × 84 × 319 ) / 29

LCM(29,84,319) = 777084 / 29

LCM(29,84,319) = 26796


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 839/29, 986/84, 106/319

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 839/29, 986/84, 106/319?

Answer: GCF of Numerators as per given numbers 839/29, 986/84, 106/319 is

GCF of Numerators i.e. for 839,986,106 is 1

LCM of denominators i.e. for 29,84,319 is 26796.

Thus, GCF of Fractions is 1/26796.Finally, GCF of Fractions for 839/29, 986/84, 106/319 is 1/26796.