Greatest Common Factor of 3297/167, 9894/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3297/167, 9894/692

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 3297/167,9894/692

Given fractions are 3297/167,9894/692

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 3297,9894

Greatest Common Factor of Numerators i.e. GCF of 3297,9894 is 3 .

LCM of Denominators means LCM of 167,692 as per the given fractions.

LCM of 167,692 is 115564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3297,9894

GCF of Fractions 3297/167,9894/692 is 3/115564

3 3297, 9894
1099, 3298

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

Greatest Common Factor of 3297,9894 By Matching Biggest Common Factor Method

Greatest Common Factor of 3297,9894 By Matching Biggest Common Factor Method

Factors of 3297

List of positive integer factors of 3297 that divides 3297 without a remainder.

1,3,7,21,157,471,1099,3297

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Greatest Common Factor

We found the factors 3297,9894 . The biggest common factor number is the GCF number.
So the greatest common factor 3297,9894 is 3.

Lets's calculate LCM of 167,692

Given numbers has no common factors except 1. So, there LCM is their product i.e 115564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115564

Therefore, the GCF of Fractions 3297/167,9894/692 is 3/115564

Least Common Multiple of 167,692 with GCF Formula

Least Common Multiple of 167,692 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 167,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,692) = 1

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

GCF(167,692) x common factors =1 x 1 = 1

LCM(167,692) = ( 167 × 692 ) / 1

LCM(167,692) = 115564 / 1

LCM(167,692) = 115564


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 3297/167, 9894/692

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 3297/167, 9894/692?

Answer: GCF of Numerators as per given numbers 3297/167, 9894/692 is

GCF of Numerators i.e. for 3297,9894 is 3

LCM of denominators i.e. for 167,692 is 115564.

Thus, GCF of Fractions is 3/115564.Finally, GCF of Fractions for 3297/167, 9894/692 is 3/115564.