Greatest Common Factor of 8622/97, 3273/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8622/97, 3273/891

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 8622/97,3273/891

Given fractions are 8622/97,3273/891

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 8622,3273

Greatest Common Factor of Numerators i.e. GCF of 8622,3273 is 3 .

LCM of Denominators means LCM of 97,891 as per the given fractions.

LCM of 97,891 is 86427 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8622,3273

GCF of Fractions 8622/97,3273/891 is 3/86427

3 8622, 3273
2874, 1091

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

Greatest Common Factor of 8622,3273 By Matching Biggest Common Factor Method

Greatest Common Factor of 8622,3273 By Matching Biggest Common Factor Method

Factors of 8622

List of positive integer factors of 8622 that divides 8622 without a remainder.

1,2,3,6,9,18,479,958,1437,2874,4311,8622

Factors of 3273

List of positive integer factors of 3273 that divides 3273 without a remainder.

1,3,1091,3273

Greatest Common Factor

We found the factors 8622,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 8622,3273 is 3.

Lets's calculate LCM of 97,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 86427

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86427

Therefore, the GCF of Fractions 8622/97,3273/891 is 3/86427

Least Common Multiple of 97,891 with GCF Formula

Least Common Multiple of 97,891 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 97,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,891) = 1

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

GCF(97,891) x common factors =1 x 1 = 1

LCM(97,891) = ( 97 × 891 ) / 1

LCM(97,891) = 86427 / 1

LCM(97,891) = 86427


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 8622/97, 3273/891

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 8622/97, 3273/891?

Answer: GCF of Numerators as per given numbers 8622/97, 3273/891 is

GCF of Numerators i.e. for 8622,3273 is 3

LCM of denominators i.e. for 97,891 is 86427.

Thus, GCF of Fractions is 3/86427.Finally, GCF of Fractions for 8622/97, 3273/891 is 3/86427.