Greatest Common Factor of 8465/836, 8185/9357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8465/836, 8185/9357

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 8465/836,8185/9357

Given fractions are 8465/836,8185/9357

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 8465,8185

Greatest Common Factor of Numerators i.e. GCF of 8465,8185 is 5 .

LCM of Denominators means LCM of 836,9357 as per the given fractions.

LCM of 836,9357 is 7822452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8465,8185

GCF of Fractions 8465/836,8185/9357 is 5/7822452

5 8465, 8185
1693, 1637

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

Greatest Common Factor of 8465,8185 By Matching Biggest Common Factor Method

Greatest Common Factor of 8465,8185 By Matching Biggest Common Factor Method

Factors of 8465

List of positive integer factors of 8465 that divides 8465 without a remainder.

1,5,1693,8465

Factors of 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1,5,1637,8185

Greatest Common Factor

We found the factors 8465,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 8465,8185 is 5.

Lets's calculate LCM of 836,9357

Given numbers has no common factors except 1. So, there LCM is their product i.e 7822452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7822452

Therefore, the GCF of Fractions 8465/836,8185/9357 is 5/7822452

Least Common Multiple of 836,9357 with GCF Formula

Least Common Multiple of 836,9357 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 836,9357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,9357) = 1

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

GCF(836,9357) x common factors =1 x 1 = 1

LCM(836,9357) = ( 836 × 9357 ) / 1

LCM(836,9357) = 7822452 / 1

LCM(836,9357) = 7822452


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 8465/836, 8185/9357

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 8465/836, 8185/9357?

Answer: GCF of Numerators as per given numbers 8465/836, 8185/9357 is

GCF of Numerators i.e. for 8465,8185 is 5

LCM of denominators i.e. for 836,9357 is 7822452.

Thus, GCF of Fractions is 5/7822452.Finally, GCF of Fractions for 8465/836, 8185/9357 is 5/7822452.