Greatest Common Factor of 8362/236, 5170/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8362/236, 5170/847

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 8362/236,5170/847

Given fractions are 8362/236,5170/847

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 8362,5170

Greatest Common Factor of Numerators i.e. GCF of 8362,5170 is 2 .

LCM of Denominators means LCM of 236,847 as per the given fractions.

LCM of 236,847 is 199892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8362,5170

GCF of Fractions 8362/236,5170/847 is 2/199892

2 8362, 5170
4181, 2585

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

Greatest Common Factor of 8362,5170 By Matching Biggest Common Factor Method

Greatest Common Factor of 8362,5170 By Matching Biggest Common Factor Method

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1,2,37,74,113,226,4181,8362

Factors of 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Greatest Common Factor

We found the factors 8362,5170 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,5170 is 2.

Lets's calculate LCM of 236,847

Given numbers has no common factors except 1. So, there LCM is their product i.e 199892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199892

Therefore, the GCF of Fractions 8362/236,5170/847 is 2/199892

Least Common Multiple of 236,847 with GCF Formula

Least Common Multiple of 236,847 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 236,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,847) = 1

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

GCF(236,847) x common factors =1 x 1 = 1

LCM(236,847) = ( 236 × 847 ) / 1

LCM(236,847) = 199892 / 1

LCM(236,847) = 199892


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 8362/236, 5170/847

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 8362/236, 5170/847?

Answer: GCF of Numerators as per given numbers 8362/236, 5170/847 is

GCF of Numerators i.e. for 8362,5170 is 2

LCM of denominators i.e. for 236,847 is 199892.

Thus, GCF of Fractions is 2/199892.Finally, GCF of Fractions for 8362/236, 5170/847 is 2/199892.