Greatest Common Factor of 87/31, 900/39, 786/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/31, 900/39, 786/786

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 87/31,900/39,786/786

Given fractions are 87/31,900/39,786/786

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 87,900,786

Greatest Common Factor of Numerators i.e. GCF of 87,900,786 is 3 .

LCM of Denominators means LCM of 31,39,786 as per the given fractions.

LCM of 31,39,786 is 316758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,900,786

GCF of Fractions 87/31,900/39,786/786 is 3/316758

3 87, 900, 786
29, 300, 262

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 87,900,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,900,786 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 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 87,900,786 . The biggest common factor number is the GCF number.
So the greatest common factor 87,900,786 is 3.

Lets's calculate LCM of 31,39,786

3 31, 39, 786
31, 13, 262

∴ So the LCM of the given numbers is 3 x 31 x 13 x 262 = 316758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/316758

Therefore, the GCF of Fractions 87/31,900/39,786/786 is 3/316758

Least Common Multiple of 31,39,786 with GCF Formula

Least Common Multiple of 31,39,786 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 31,39,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,39,786) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,39,786) x common factors =1 x 3 = 3

LCM(31,39,786) = ( 31 × 39 × 786 ) / 3

LCM(31,39,786) = 950274 / 3

LCM(31,39,786) = 316758


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 87/31, 900/39, 786/786

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 87/31, 900/39, 786/786?

Answer: GCF of Numerators as per given numbers 87/31, 900/39, 786/786 is

GCF of Numerators i.e. for 87,900,786 is 3

LCM of denominators i.e. for 31,39,786 is 316758.

Thus, GCF of Fractions is 3/316758.Finally, GCF of Fractions for 87/31, 900/39, 786/786 is 3/316758.