Greatest Common Factor of 86/44, 66/22, 689/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/44, 66/22, 689/966

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 86/44,66/22,689/966

Given fractions are 86/44,66/22,689/966

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 86,66,689

Greatest Common Factor of Numerators i.e. GCF of 86,66,689 is 1 .

LCM of Denominators means LCM of 44,22,966 as per the given fractions.

LCM of 44,22,966 is 21252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,66,689

GCF of Fractions 86/44,66/22,689/966 is 1/21252

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

Greatest Common Factor of 86,66,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,66,689 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 86,66,689 . The biggest common factor number is the GCF number.
So the greatest common factor 86,66,689 is 1.

Lets's calculate LCM of 44,22,966

2 44, 22, 966
11 22, 11, 483
2, 1, 483

∴ So the LCM of the given numbers is 2 x 11 x 2 x 1 x 483 = 21252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21252

Therefore, the GCF of Fractions 86/44,66/22,689/966 is 1/21252

Least Common Multiple of 44,22,966 with GCF Formula

Least Common Multiple of 44,22,966 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 44,22,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,22,966) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(44,22,966) x common factors =2 x 22 = 44

LCM(44,22,966) = ( 44 × 22 × 966 ) / 44

LCM(44,22,966) = 935088 / 44

LCM(44,22,966) = 21252


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 86/44, 66/22, 689/966

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 86/44, 66/22, 689/966?

Answer: GCF of Numerators as per given numbers 86/44, 66/22, 689/966 is

GCF of Numerators i.e. for 86,66,689 is 1

LCM of denominators i.e. for 44,22,966 is 21252.

Thus, GCF of Fractions is 1/21252.Finally, GCF of Fractions for 86/44, 66/22, 689/966 is 1/21252.