Greatest Common Factor of 72/10, 336/43, 856/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/10, 336/43, 856/481

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 72/10,336/43,856/481

Given fractions are 72/10,336/43,856/481

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 72,336,856

Greatest Common Factor of Numerators i.e. GCF of 72,336,856 is 8 .

LCM of Denominators means LCM of 10,43,481 as per the given fractions.

LCM of 10,43,481 is 206830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,336,856

GCF of Fractions 72/10,336/43,856/481 is 8/206830

2 72, 336, 856
2 36, 168, 428
2 18, 84, 214
9, 42, 107

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 72,336,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,336,856 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 72,336,856 . The biggest common factor number is the GCF number.
So the greatest common factor 72,336,856 is 8.

Lets's calculate LCM of 10,43,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 206830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/206830

Therefore, the GCF of Fractions 72/10,336/43,856/481 is 8/206830

Least Common Multiple of 10,43,481 with GCF Formula

Least Common Multiple of 10,43,481 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 10,43,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,43,481) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(10,43,481) x common factors =1 x 1 = 1

LCM(10,43,481) = ( 10 × 43 × 481 ) / 1

LCM(10,43,481) = 206830 / 1

LCM(10,43,481) = 206830


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 72/10, 336/43, 856/481

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 72/10, 336/43, 856/481?

Answer: GCF of Numerators as per given numbers 72/10, 336/43, 856/481 is

GCF of Numerators i.e. for 72,336,856 is 8

LCM of denominators i.e. for 10,43,481 is 206830.

Thus, GCF of Fractions is 8/206830.Finally, GCF of Fractions for 72/10, 336/43, 856/481 is 8/206830.