Greatest Common Factor of 816/571, 4094/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/571, 4094/710

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 816/571,4094/710

Given fractions are 816/571,4094/710

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 816,4094

Greatest Common Factor of Numerators i.e. GCF of 816,4094 is 2 .

LCM of Denominators means LCM of 571,710 as per the given fractions.

LCM of 571,710 is 405410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,4094

GCF of Fractions 816/571,4094/710 is 2/405410

2 816, 4094
408, 2047

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

Greatest Common Factor of 816,4094 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,4094 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 4094

List of positive integer factors of 4094 that divides 4094 without a remainder.

1,2,23,46,89,178,2047,4094

Greatest Common Factor

We found the factors 816,4094 . The biggest common factor number is the GCF number.
So the greatest common factor 816,4094 is 2.

Lets's calculate LCM of 571,710

Given numbers has no common factors except 1. So, there LCM is their product i.e 405410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/405410

Therefore, the GCF of Fractions 816/571,4094/710 is 2/405410

Least Common Multiple of 571,710 with GCF Formula

Least Common Multiple of 571,710 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 571,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,710) = 1

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

GCF(571,710) x common factors =1 x 1 = 1

LCM(571,710) = ( 571 × 710 ) / 1

LCM(571,710) = 405410 / 1

LCM(571,710) = 405410


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 816/571, 4094/710

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 816/571, 4094/710?

Answer: GCF of Numerators as per given numbers 816/571, 4094/710 is

GCF of Numerators i.e. for 816,4094 is 2

LCM of denominators i.e. for 571,710 is 405410.

Thus, GCF of Fractions is 2/405410.Finally, GCF of Fractions for 816/571, 4094/710 is 2/405410.