Greatest Common Factor of 2422/836, 9465/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2422/836, 9465/208

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 2422/836,9465/208

Given fractions are 2422/836,9465/208

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 2422,9465

Greatest Common Factor of Numerators i.e. GCF of 2422,9465 is 1 .

LCM of Denominators means LCM of 836,208 as per the given fractions.

LCM of 836,208 is 43472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2422,9465

GCF of Fractions 2422/836,9465/208 is 1/43472

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2422,9465 By Matching Biggest Common Factor Method

Greatest Common Factor of 2422,9465 By Matching Biggest Common Factor Method

Factors of 2422

List of positive integer factors of 2422 that divides 2422 without a remainder.

1,2,7,14,173,346,1211,2422

Factors of 9465

List of positive integer factors of 9465 that divides 9465 without a remainder.

1,3,5,15,631,1893,3155,9465

Greatest Common Factor

We found the factors 2422,9465 . The biggest common factor number is the GCF number.
So the greatest common factor 2422,9465 is 1.

Lets's calculate LCM of 836,208

2 836, 208
2 418, 104
209, 52

∴ So the LCM of the given numbers is 2 x 2 x 209 x 52 = 43472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43472

Therefore, the GCF of Fractions 2422/836,9465/208 is 1/43472

Least Common Multiple of 836,208 with GCF Formula

Least Common Multiple of 836,208 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 836,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,208) = 4

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

GCF(836,208) x common factors =4 x 1 = 4

LCM(836,208) = ( 836 × 208 ) / 4

LCM(836,208) = 173888 / 4

LCM(836,208) = 43472


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 2422/836, 9465/208

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 2422/836, 9465/208?

Answer: GCF of Numerators as per given numbers 2422/836, 9465/208 is

GCF of Numerators i.e. for 2422,9465 is 1

LCM of denominators i.e. for 836,208 is 43472.

Thus, GCF of Fractions is 1/43472.Finally, GCF of Fractions for 2422/836, 9465/208 is 1/43472.