Greatest Common Factor of 795/90, 711/4010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/90, 711/4010

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 795/90,711/4010

Given fractions are 795/90,711/4010

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 795,711

Greatest Common Factor of Numerators i.e. GCF of 795,711 is 3 .

LCM of Denominators means LCM of 90,4010 as per the given fractions.

LCM of 90,4010 is 36090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,711

GCF of Fractions 795/90,711/4010 is 3/36090

3 795, 711
265, 237

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 795,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,711 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 795,711 . The biggest common factor number is the GCF number.
So the greatest common factor 795,711 is 3.

Lets's calculate LCM of 90,4010

2 90, 4010
5 45, 2005
9, 401

∴ So the LCM of the given numbers is 2 x 5 x 9 x 401 = 36090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36090

Therefore, the GCF of Fractions 795/90,711/4010 is 3/36090

Least Common Multiple of 90,4010 with GCF Formula

Least Common Multiple of 90,4010 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 90,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,4010) = 10

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

GCF(90,4010) x common factors =10 x 1 = 10

LCM(90,4010) = ( 90 × 4010 ) / 10

LCM(90,4010) = 360900 / 10

LCM(90,4010) = 36090


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 795/90, 711/4010

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 795/90, 711/4010?

Answer: GCF of Numerators as per given numbers 795/90, 711/4010 is

GCF of Numerators i.e. for 795,711 is 3

LCM of denominators i.e. for 90,4010 is 36090.

Thus, GCF of Fractions is 3/36090.Finally, GCF of Fractions for 795/90, 711/4010 is 3/36090.