Greatest Common Factor of 2396/92, 3490/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2396/92, 3490/812

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 2396/92,3490/812

Given fractions are 2396/92,3490/812

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 2396,3490

Greatest Common Factor of Numerators i.e. GCF of 2396,3490 is 2 .

LCM of Denominators means LCM of 92,812 as per the given fractions.

LCM of 92,812 is 18676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2396,3490

GCF of Fractions 2396/92,3490/812 is 2/18676

2 2396, 3490
1198, 1745

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

Greatest Common Factor of 2396,3490 By Matching Biggest Common Factor Method

Greatest Common Factor of 2396,3490 By Matching Biggest Common Factor Method

Factors of 2396

List of positive integer factors of 2396 that divides 2396 without a remainder.

1,2,4,599,1198,2396

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

Greatest Common Factor

We found the factors 2396,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 2396,3490 is 2.

Lets's calculate LCM of 92,812

2 92, 812
2 46, 406
23, 203

∴ So the LCM of the given numbers is 2 x 2 x 23 x 203 = 18676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18676

Therefore, the GCF of Fractions 2396/92,3490/812 is 2/18676

Least Common Multiple of 92,812 with GCF Formula

Least Common Multiple of 92,812 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 92,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,812) = 4

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

GCF(92,812) x common factors =4 x 1 = 4

LCM(92,812) = ( 92 × 812 ) / 4

LCM(92,812) = 74704 / 4

LCM(92,812) = 18676


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 2396/92, 3490/812

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 2396/92, 3490/812?

Answer: GCF of Numerators as per given numbers 2396/92, 3490/812 is

GCF of Numerators i.e. for 2396,3490 is 2

LCM of denominators i.e. for 92,812 is 18676.

Thus, GCF of Fractions is 2/18676.Finally, GCF of Fractions for 2396/92, 3490/812 is 2/18676.