Greatest Common Factor of 4/14, 20/55, 72/750, 731/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/14, 20/55, 72/750, 731/561

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 4/14,20/55,72/750,731/561

Given fractions are 4/14,20/55,72/750,731/561

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 4,20,72,731

Greatest Common Factor of Numerators i.e. GCF of 4,20,72,731 is 1 .

LCM of Denominators means LCM of 14,55,750,561 as per the given fractions.

LCM of 14,55,750,561 is 981750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,20,72,731

GCF of Fractions 4/14,20/55,72/750,731/561 is 1/981750

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

Greatest Common Factor of 4,20,72,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,20,72,731 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 4,20,72,731 . The biggest common factor number is the GCF number.
So the greatest common factor 4,20,72,731 is 1.

Lets's calculate LCM of 14,55,750,561

2 14, 55, 750, 561
3 7, 55, 375, 561
5 7, 55, 125, 187
11 7, 11, 25, 187
7, 1, 25, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 7 x 1 x 25 x 17 = 981750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/981750

Therefore, the GCF of Fractions 4/14,20/55,72/750,731/561 is 1/981750

Least Common Multiple of 14,55,750,561 with GCF Formula

Least Common Multiple of 14,55,750,561 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 14,55,750,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,55,750,561) = 1

common factors(in case of two or more numbers have common factors) = 330

GCF(14,55,750,561) x common factors =1 x 330 = 330

LCM(14,55,750,561) = ( 14 × 55 × 750 × 561 ) / 330

LCM(14,55,750,561) = 323977500 / 330

LCM(14,55,750,561) = 981750


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 4/14, 20/55, 72/750, 731/561

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 4/14, 20/55, 72/750, 731/561?

Answer: GCF of Numerators as per given numbers 4/14, 20/55, 72/750, 731/561 is

GCF of Numerators i.e. for 4,20,72,731 is 1

LCM of denominators i.e. for 14,55,750,561 is 981750.

Thus, GCF of Fractions is 1/981750.Finally, GCF of Fractions for 4/14, 20/55, 72/750, 731/561 is 1/981750.