Greatest Common Factor of 90/861, 6575/6446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/861, 6575/6446

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 90/861,6575/6446

Given fractions are 90/861,6575/6446

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 90,6575

Greatest Common Factor of Numerators i.e. GCF of 90,6575 is 5 .

LCM of Denominators means LCM of 861,6446 as per the given fractions.

LCM of 861,6446 is 5550006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,6575

GCF of Fractions 90/861,6575/6446 is 5/5550006

5 90, 6575
18, 1315

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 90,6575 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,6575 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1,5,25,263,1315,6575

Greatest Common Factor

We found the factors 90,6575 . The biggest common factor number is the GCF number.
So the greatest common factor 90,6575 is 5.

Lets's calculate LCM of 861,6446

Given numbers has no common factors except 1. So, there LCM is their product i.e 5550006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5550006

Therefore, the GCF of Fractions 90/861,6575/6446 is 5/5550006

Least Common Multiple of 861,6446 with GCF Formula

Least Common Multiple of 861,6446 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 861,6446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,6446) = 1

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

GCF(861,6446) x common factors =1 x 1 = 1

LCM(861,6446) = ( 861 × 6446 ) / 1

LCM(861,6446) = 5550006 / 1

LCM(861,6446) = 5550006


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 90/861, 6575/6446

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 90/861, 6575/6446?

Answer: GCF of Numerators as per given numbers 90/861, 6575/6446 is

GCF of Numerators i.e. for 90,6575 is 5

LCM of denominators i.e. for 861,6446 is 5550006.

Thus, GCF of Fractions is 5/5550006.Finally, GCF of Fractions for 90/861, 6575/6446 is 5/5550006.