Greatest Common Factor of 9422/84, 3452/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9422/84, 3452/833

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 9422/84,3452/833

Given fractions are 9422/84,3452/833

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 9422,3452

Greatest Common Factor of Numerators i.e. GCF of 9422,3452 is 2 .

LCM of Denominators means LCM of 84,833 as per the given fractions.

LCM of 84,833 is 9996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9422,3452

GCF of Fractions 9422/84,3452/833 is 2/9996

2 9422, 3452
4711, 1726

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

Greatest Common Factor of 9422,3452 By Matching Biggest Common Factor Method

Greatest Common Factor of 9422,3452 By Matching Biggest Common Factor Method

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1,2,7,14,673,1346,4711,9422

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1,2,4,863,1726,3452

Greatest Common Factor

We found the factors 9422,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 9422,3452 is 2.

Lets's calculate LCM of 84,833

7 84, 833
12, 119

∴ So the LCM of the given numbers is 7 x 12 x 119 = 9996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9996

Therefore, the GCF of Fractions 9422/84,3452/833 is 2/9996

Least Common Multiple of 84,833 with GCF Formula

Least Common Multiple of 84,833 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 84,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,833) = 7

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

GCF(84,833) x common factors =7 x 1 = 7

LCM(84,833) = ( 84 × 833 ) / 7

LCM(84,833) = 69972 / 7

LCM(84,833) = 9996


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 9422/84, 3452/833

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 9422/84, 3452/833?

Answer: GCF of Numerators as per given numbers 9422/84, 3452/833 is

GCF of Numerators i.e. for 9422,3452 is 2

LCM of denominators i.e. for 84,833 is 9996.

Thus, GCF of Fractions is 2/9996.Finally, GCF of Fractions for 9422/84, 3452/833 is 2/9996.