Greatest Common Factor of 816/361, 700/246, 727/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/361, 700/246, 727/572

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 816/361,700/246,727/572

Given fractions are 816/361,700/246,727/572

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 816,700,727

Greatest Common Factor of Numerators i.e. GCF of 816,700,727 is 1 .

LCM of Denominators means LCM of 361,246,572 as per the given fractions.

LCM of 361,246,572 is 25398516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,700,727

GCF of Fractions 816/361,700/246,727/572 is 1/25398516

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

Greatest Common Factor of 816,700,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,700,727 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 816,700,727 . The biggest common factor number is the GCF number.
So the greatest common factor 816,700,727 is 1.

Lets's calculate LCM of 361,246,572

2 361, 246, 572
361, 123, 286

∴ So the LCM of the given numbers is 2 x 361 x 123 x 286 = 25398516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25398516

Therefore, the GCF of Fractions 816/361,700/246,727/572 is 1/25398516

Least Common Multiple of 361,246,572 with GCF Formula

Least Common Multiple of 361,246,572 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 361,246,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,246,572) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(361,246,572) x common factors =1 x 2 = 2

LCM(361,246,572) = ( 361 × 246 × 572 ) / 2

LCM(361,246,572) = 50797032 / 2

LCM(361,246,572) = 25398516


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 816/361, 700/246, 727/572

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 816/361, 700/246, 727/572?

Answer: GCF of Numerators as per given numbers 816/361, 700/246, 727/572 is

GCF of Numerators i.e. for 816,700,727 is 1

LCM of denominators i.e. for 361,246,572 is 25398516.

Thus, GCF of Fractions is 1/25398516.Finally, GCF of Fractions for 816/361, 700/246, 727/572 is 1/25398516.