Greatest Common Factor of 869/14, 827/17, 986/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/14, 827/17, 986/391

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 869/14,827/17,986/391

Given fractions are 869/14,827/17,986/391

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 869,827,986

Greatest Common Factor of Numerators i.e. GCF of 869,827,986 is 1 .

LCM of Denominators means LCM of 14,17,391 as per the given fractions.

LCM of 14,17,391 is 5474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,827,986

GCF of Fractions 869/14,827/17,986/391 is 1/5474

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

Greatest Common Factor of 869,827,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,827,986 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 986

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

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

Greatest Common Factor

We found the factors 869,827,986 . The biggest common factor number is the GCF number.
So the greatest common factor 869,827,986 is 1.

Lets's calculate LCM of 14,17,391

17 14, 17, 391
14, 1, 23

∴ So the LCM of the given numbers is 17 x 14 x 1 x 23 = 5474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5474

Therefore, the GCF of Fractions 869/14,827/17,986/391 is 1/5474

Least Common Multiple of 14,17,391 with GCF Formula

Least Common Multiple of 14,17,391 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 14,17,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,17,391) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(14,17,391) x common factors =1 x 17 = 17

LCM(14,17,391) = ( 14 × 17 × 391 ) / 17

LCM(14,17,391) = 93058 / 17

LCM(14,17,391) = 5474


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 869/14, 827/17, 986/391

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 869/14, 827/17, 986/391?

Answer: GCF of Numerators as per given numbers 869/14, 827/17, 986/391 is

GCF of Numerators i.e. for 869,827,986 is 1

LCM of denominators i.e. for 14,17,391 is 5474.

Thus, GCF of Fractions is 1/5474.Finally, GCF of Fractions for 869/14, 827/17, 986/391 is 1/5474.