Greatest Common Factor of 9/24, 14/60, 71/643, 695/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/24, 14/60, 71/643, 695/324

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 9/24,14/60,71/643,695/324

Given fractions are 9/24,14/60,71/643,695/324

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 9,14,71,695

Greatest Common Factor of Numerators i.e. GCF of 9,14,71,695 is 1 .

LCM of Denominators means LCM of 24,60,643,324 as per the given fractions.

LCM of 24,60,643,324 is 2083320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,14,71,695

GCF of Fractions 9/24,14/60,71/643,695/324 is 1/2083320

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

Greatest Common Factor of 9,14,71,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,14,71,695 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 9,14,71,695 . The biggest common factor number is the GCF number.
So the greatest common factor 9,14,71,695 is 1.

Lets's calculate LCM of 24,60,643,324

2 24, 60, 643, 324
2 12, 30, 643, 162
3 6, 15, 643, 81
2, 5, 643, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 5 x 643 x 27 = 2083320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2083320

Therefore, the GCF of Fractions 9/24,14/60,71/643,695/324 is 1/2083320

Least Common Multiple of 24,60,643,324 with GCF Formula

Least Common Multiple of 24,60,643,324 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 24,60,643,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,60,643,324) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(24,60,643,324) x common factors =1 x 144 = 144

LCM(24,60,643,324) = ( 24 × 60 × 643 × 324 ) / 144

LCM(24,60,643,324) = 299998080 / 144

LCM(24,60,643,324) = 2083320


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 9/24, 14/60, 71/643, 695/324

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 9/24, 14/60, 71/643, 695/324?

Answer: GCF of Numerators as per given numbers 9/24, 14/60, 71/643, 695/324 is

GCF of Numerators i.e. for 9,14,71,695 is 1

LCM of denominators i.e. for 24,60,643,324 is 2083320.

Thus, GCF of Fractions is 1/2083320.Finally, GCF of Fractions for 9/24, 14/60, 71/643, 695/324 is 1/2083320.