Greatest Common Factor of 506/271, 736/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/271, 736/720

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 506/271,736/720

Given fractions are 506/271,736/720

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 506,736

Greatest Common Factor of Numerators i.e. GCF of 506,736 is 46 .

LCM of Denominators means LCM of 271,720 as per the given fractions.

LCM of 271,720 is 195120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,736

GCF of Fractions 506/271,736/720 is 46/195120

2 506, 736
23 253, 368
11, 16

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 506,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,736 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 506,736 . The biggest common factor number is the GCF number.
So the greatest common factor 506,736 is 46.

Lets's calculate LCM of 271,720

Given numbers has no common factors except 1. So, there LCM is their product i.e 195120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/195120

Therefore, the GCF of Fractions 506/271,736/720 is 46/195120

Least Common Multiple of 271,720 with GCF Formula

Least Common Multiple of 271,720 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 271,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,720) = 1

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

GCF(271,720) x common factors =1 x 1 = 1

LCM(271,720) = ( 271 × 720 ) / 1

LCM(271,720) = 195120 / 1

LCM(271,720) = 195120


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 506/271, 736/720

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 506/271, 736/720?

Answer: GCF of Numerators as per given numbers 506/271, 736/720 is

GCF of Numerators i.e. for 506,736 is 46

LCM of denominators i.e. for 271,720 is 195120.

Thus, GCF of Fractions is 46/195120.Finally, GCF of Fractions for 506/271, 736/720 is 46/195120.