Greatest Common Factor of 9492/70, 3297/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9492/70, 3297/321

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 9492/70,3297/321

Given fractions are 9492/70,3297/321

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 9492,3297

Greatest Common Factor of Numerators i.e. GCF of 9492,3297 is 21 .

LCM of Denominators means LCM of 70,321 as per the given fractions.

LCM of 70,321 is 22470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9492,3297

GCF of Fractions 9492/70,3297/321 is 21/22470

3 9492, 3297
7 3164, 1099
452, 157

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 9492,3297 By Matching Biggest Common Factor Method

Greatest Common Factor of 9492,3297 By Matching Biggest Common Factor Method

Factors of 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492

Factors of 3297

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

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

Greatest Common Factor

We found the factors 9492,3297 . The biggest common factor number is the GCF number.
So the greatest common factor 9492,3297 is 21.

Lets's calculate LCM of 70,321

Given numbers has no common factors except 1. So, there LCM is their product i.e 22470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/22470

Therefore, the GCF of Fractions 9492/70,3297/321 is 21/22470

Least Common Multiple of 70,321 with GCF Formula

Least Common Multiple of 70,321 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 70,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,321) = 1

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

GCF(70,321) x common factors =1 x 1 = 1

LCM(70,321) = ( 70 × 321 ) / 1

LCM(70,321) = 22470 / 1

LCM(70,321) = 22470


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 9492/70, 3297/321

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 9492/70, 3297/321?

Answer: GCF of Numerators as per given numbers 9492/70, 3297/321 is

GCF of Numerators i.e. for 9492,3297 is 21

LCM of denominators i.e. for 70,321 is 22470.

Thus, GCF of Fractions is 21/22470.Finally, GCF of Fractions for 9492/70, 3297/321 is 21/22470.