Greatest Common Factor of 87/14, 83/76, 64/97, 86/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/14, 83/76, 64/97, 86/205

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 87/14,83/76,64/97,86/205

Given fractions are 87/14,83/76,64/97,86/205

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 87,83,64,86

Greatest Common Factor of Numerators i.e. GCF of 87,83,64,86 is 1 .

LCM of Denominators means LCM of 14,76,97,205 as per the given fractions.

LCM of 14,76,97,205 is 10578820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,83,64,86

GCF of Fractions 87/14,83/76,64/97,86/205 is 1/10578820

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

Greatest Common Factor of 87,83,64,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,83,64,86 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 86

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

1,2,43,86

Greatest Common Factor

We found the factors 87,83,64,86 . The biggest common factor number is the GCF number.
So the greatest common factor 87,83,64,86 is 1.

Lets's calculate LCM of 14,76,97,205

2 14, 76, 97, 205
7, 38, 97, 205

∴ So the LCM of the given numbers is 2 x 7 x 38 x 97 x 205 = 10578820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10578820

Therefore, the GCF of Fractions 87/14,83/76,64/97,86/205 is 1/10578820

Least Common Multiple of 14,76,97,205 with GCF Formula

Least Common Multiple of 14,76,97,205 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 14,76,97,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,76,97,205) = 1

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

GCF(14,76,97,205) x common factors =1 x 2 = 2

LCM(14,76,97,205) = ( 14 × 76 × 97 × 205 ) / 2

LCM(14,76,97,205) = 21157640 / 2

LCM(14,76,97,205) = 10578820


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 87/14, 83/76, 64/97, 86/205

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 87/14, 83/76, 64/97, 86/205?

Answer: GCF of Numerators as per given numbers 87/14, 83/76, 64/97, 86/205 is

GCF of Numerators i.e. for 87,83,64,86 is 1

LCM of denominators i.e. for 14,76,97,205 is 10578820.

Thus, GCF of Fractions is 1/10578820.Finally, GCF of Fractions for 87/14, 83/76, 64/97, 86/205 is 1/10578820.