Greatest Common Factor of 2/72, 69/48, 70/959, 283/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/72, 69/48, 70/959, 283/729

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 2/72,69/48,70/959,283/729

Given fractions are 2/72,69/48,70/959,283/729

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 2,69,70,283

Greatest Common Factor of Numerators i.e. GCF of 2,69,70,283 is 1 .

LCM of Denominators means LCM of 72,48,959,729 as per the given fractions.

LCM of 72,48,959,729 is 11185776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,69,70,283

GCF of Fractions 2/72,69/48,70/959,283/729 is 1/11185776

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

Greatest Common Factor of 2,69,70,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,69,70,283 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 2,69,70,283 . The biggest common factor number is the GCF number.
So the greatest common factor 2,69,70,283 is 1.

Lets's calculate LCM of 72,48,959,729

2 72, 48, 959, 729
2 36, 24, 959, 729
2 18, 12, 959, 729
3 9, 6, 959, 729
3 3, 2, 959, 243
1, 2, 959, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 2 x 959 x 81 = 11185776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11185776

Therefore, the GCF of Fractions 2/72,69/48,70/959,283/729 is 1/11185776

Least Common Multiple of 72,48,959,729 with GCF Formula

Least Common Multiple of 72,48,959,729 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 72,48,959,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,48,959,729) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(72,48,959,729) x common factors =1 x 216 = 216

LCM(72,48,959,729) = ( 72 × 48 × 959 × 729 ) / 216

LCM(72,48,959,729) = 2416127616 / 216

LCM(72,48,959,729) = 11185776


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 2/72, 69/48, 70/959, 283/729

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 2/72, 69/48, 70/959, 283/729?

Answer: GCF of Numerators as per given numbers 2/72, 69/48, 70/959, 283/729 is

GCF of Numerators i.e. for 2,69,70,283 is 1

LCM of denominators i.e. for 72,48,959,729 is 11185776.

Thus, GCF of Fractions is 1/11185776.Finally, GCF of Fractions for 2/72, 69/48, 70/959, 283/729 is 1/11185776.