Greatest Common Factor of 8485/71, 6230/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8485/71, 6230/991

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 8485/71,6230/991

Given fractions are 8485/71,6230/991

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 8485,6230

Greatest Common Factor of Numerators i.e. GCF of 8485,6230 is 5 .

LCM of Denominators means LCM of 71,991 as per the given fractions.

LCM of 71,991 is 70361 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8485,6230

GCF of Fractions 8485/71,6230/991 is 5/70361

5 8485, 6230
1697, 1246

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

Greatest Common Factor of 8485,6230 By Matching Biggest Common Factor Method

Greatest Common Factor of 8485,6230 By Matching Biggest Common Factor Method

Factors of 8485

List of positive integer factors of 8485 that divides 8485 without a remainder.

1,5,1697,8485

Factors of 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1,2,5,7,10,14,35,70,89,178,445,623,890,1246,3115,6230

Greatest Common Factor

We found the factors 8485,6230 . The biggest common factor number is the GCF number.
So the greatest common factor 8485,6230 is 5.

Lets's calculate LCM of 71,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 70361

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/70361

Therefore, the GCF of Fractions 8485/71,6230/991 is 5/70361

Least Common Multiple of 71,991 with GCF Formula

Least Common Multiple of 71,991 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 71,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,991) = 1

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

GCF(71,991) x common factors =1 x 1 = 1

LCM(71,991) = ( 71 × 991 ) / 1

LCM(71,991) = 70361 / 1

LCM(71,991) = 70361


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 8485/71, 6230/991

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 8485/71, 6230/991?

Answer: GCF of Numerators as per given numbers 8485/71, 6230/991 is

GCF of Numerators i.e. for 8485,6230 is 5

LCM of denominators i.e. for 71,991 is 70361.

Thus, GCF of Fractions is 5/70361.Finally, GCF of Fractions for 8485/71, 6230/991 is 5/70361.