Greatest Common Factor of 86/61, 78/69, 990/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/61, 78/69, 990/442

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 86/61,78/69,990/442

Given fractions are 86/61,78/69,990/442

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 86,78,990

Greatest Common Factor of Numerators i.e. GCF of 86,78,990 is 2 .

LCM of Denominators means LCM of 61,69,442 as per the given fractions.

LCM of 61,69,442 is 1860378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,78,990

GCF of Fractions 86/61,78/69,990/442 is 2/1860378

2 86, 78, 990
43, 39, 495

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 86,78,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,78,990 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 86,78,990 . The biggest common factor number is the GCF number.
So the greatest common factor 86,78,990 is 2.

Lets's calculate LCM of 61,69,442

Given numbers has no common factors except 1. So, there LCM is their product i.e 1860378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1860378

Therefore, the GCF of Fractions 86/61,78/69,990/442 is 2/1860378

Least Common Multiple of 61,69,442 with GCF Formula

Least Common Multiple of 61,69,442 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 61,69,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,69,442) = 1

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

GCF(61,69,442) x common factors =1 x 1 = 1

LCM(61,69,442) = ( 61 × 69 × 442 ) / 1

LCM(61,69,442) = 1860378 / 1

LCM(61,69,442) = 1860378


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 86/61, 78/69, 990/442

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 86/61, 78/69, 990/442?

Answer: GCF of Numerators as per given numbers 86/61, 78/69, 990/442 is

GCF of Numerators i.e. for 86,78,990 is 2

LCM of denominators i.e. for 61,69,442 is 1860378.

Thus, GCF of Fractions is 2/1860378.Finally, GCF of Fractions for 86/61, 78/69, 990/442 is 2/1860378.