Greatest Common Factor of 87/90, 774/83, 685/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/90, 774/83, 685/994

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 87/90,774/83,685/994

Given fractions are 87/90,774/83,685/994

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 87,774,685

Greatest Common Factor of Numerators i.e. GCF of 87,774,685 is 1 .

LCM of Denominators means LCM of 90,83,994 as per the given fractions.

LCM of 90,83,994 is 3712590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,774,685

GCF of Fractions 87/90,774/83,685/994 is 1/3712590

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

Greatest Common Factor of 87,774,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,774,685 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 87,774,685 . The biggest common factor number is the GCF number.
So the greatest common factor 87,774,685 is 1.

Lets's calculate LCM of 90,83,994

2 90, 83, 994
45, 83, 497

∴ So the LCM of the given numbers is 2 x 45 x 83 x 497 = 3712590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3712590

Therefore, the GCF of Fractions 87/90,774/83,685/994 is 1/3712590

Least Common Multiple of 90,83,994 with GCF Formula

Least Common Multiple of 90,83,994 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 90,83,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,83,994) = 1

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

GCF(90,83,994) x common factors =1 x 2 = 2

LCM(90,83,994) = ( 90 × 83 × 994 ) / 2

LCM(90,83,994) = 7425180 / 2

LCM(90,83,994) = 3712590


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 87/90, 774/83, 685/994

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 87/90, 774/83, 685/994?

Answer: GCF of Numerators as per given numbers 87/90, 774/83, 685/994 is

GCF of Numerators i.e. for 87,774,685 is 1

LCM of denominators i.e. for 90,83,994 is 3712590.

Thus, GCF of Fractions is 1/3712590.Finally, GCF of Fractions for 87/90, 774/83, 685/994 is 1/3712590.