Greatest Common Factor of 6/64, 19/14, 59/120, 359/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/64, 19/14, 59/120, 359/231

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 6/64,19/14,59/120,359/231

Given fractions are 6/64,19/14,59/120,359/231

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 6,19,59,359

Greatest Common Factor of Numerators i.e. GCF of 6,19,59,359 is 1 .

LCM of Denominators means LCM of 64,14,120,231 as per the given fractions.

LCM of 64,14,120,231 is 73920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,19,59,359

GCF of Fractions 6/64,19/14,59/120,359/231 is 1/73920

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

Greatest Common Factor of 6,19,59,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,19,59,359 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 6,19,59,359 . The biggest common factor number is the GCF number.
So the greatest common factor 6,19,59,359 is 1.

Lets's calculate LCM of 64,14,120,231

2 64, 14, 120, 231
2 32, 7, 60, 231
2 16, 7, 30, 231
3 8, 7, 15, 231
7 8, 7, 5, 77
8, 1, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 8 x 1 x 5 x 11 = 73920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73920

Therefore, the GCF of Fractions 6/64,19/14,59/120,359/231 is 1/73920

Least Common Multiple of 64,14,120,231 with GCF Formula

Least Common Multiple of 64,14,120,231 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 64,14,120,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,14,120,231) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(64,14,120,231) x common factors =1 x 336 = 336

LCM(64,14,120,231) = ( 64 × 14 × 120 × 231 ) / 336

LCM(64,14,120,231) = 24837120 / 336

LCM(64,14,120,231) = 73920


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 6/64, 19/14, 59/120, 359/231

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 6/64, 19/14, 59/120, 359/231?

Answer: GCF of Numerators as per given numbers 6/64, 19/14, 59/120, 359/231 is

GCF of Numerators i.e. for 6,19,59,359 is 1

LCM of denominators i.e. for 64,14,120,231 is 73920.

Thus, GCF of Fractions is 1/73920.Finally, GCF of Fractions for 6/64, 19/14, 59/120, 359/231 is 1/73920.