Greatest Common Factor of 75/16, 51/40, 31/87, 786/93

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/16, 51/40, 31/87, 786/93

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 75/16,51/40,31/87,786/93

Given fractions are 75/16,51/40,31/87,786/93

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 75,51,31,786

Greatest Common Factor of Numerators i.e. GCF of 75,51,31,786 is 1 .

LCM of Denominators means LCM of 16,40,87,93 as per the given fractions.

LCM of 16,40,87,93 is 215760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,51,31,786

GCF of Fractions 75/16,51/40,31/87,786/93 is 1/215760

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

Greatest Common Factor of 75,51,31,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,51,31,786 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 75,51,31,786 . The biggest common factor number is the GCF number.
So the greatest common factor 75,51,31,786 is 1.

Lets's calculate LCM of 16,40,87,93

2 16, 40, 87, 93
2 8, 20, 87, 93
2 4, 10, 87, 93
3 2, 5, 87, 93
2, 5, 29, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 5 x 29 x 31 = 215760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215760

Therefore, the GCF of Fractions 75/16,51/40,31/87,786/93 is 1/215760

Least Common Multiple of 16,40,87,93 with GCF Formula

Least Common Multiple of 16,40,87,93 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 16,40,87,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,40,87,93) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(16,40,87,93) x common factors =1 x 24 = 24

LCM(16,40,87,93) = ( 16 × 40 × 87 × 93 ) / 24

LCM(16,40,87,93) = 5178240 / 24

LCM(16,40,87,93) = 215760


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 75/16, 51/40, 31/87, 786/93

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 75/16, 51/40, 31/87, 786/93?

Answer: GCF of Numerators as per given numbers 75/16, 51/40, 31/87, 786/93 is

GCF of Numerators i.e. for 75,51,31,786 is 1

LCM of denominators i.e. for 16,40,87,93 is 215760.

Thus, GCF of Fractions is 1/215760.Finally, GCF of Fractions for 75/16, 51/40, 31/87, 786/93 is 1/215760.