Greatest Common Factor of 3412/804, 4122/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3412/804, 4122/974

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 3412/804,4122/974

Given fractions are 3412/804,4122/974

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 3412,4122

Greatest Common Factor of Numerators i.e. GCF of 3412,4122 is 2 .

LCM of Denominators means LCM of 804,974 as per the given fractions.

LCM of 804,974 is 391548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3412,4122

GCF of Fractions 3412/804,4122/974 is 2/391548

2 3412, 4122
1706, 2061

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

Greatest Common Factor of 3412,4122 By Matching Biggest Common Factor Method

Greatest Common Factor of 3412,4122 By Matching Biggest Common Factor Method

Factors of 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1,2,4,853,1706,3412

Factors of 4122

List of positive integer factors of 4122 that divides 4122 without a remainder.

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 3412,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 3412,4122 is 2.

Lets's calculate LCM of 804,974

2 804, 974
402, 487

∴ So the LCM of the given numbers is 2 x 402 x 487 = 391548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/391548

Therefore, the GCF of Fractions 3412/804,4122/974 is 2/391548

Least Common Multiple of 804,974 with GCF Formula

Least Common Multiple of 804,974 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 804,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,974) = 2

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

GCF(804,974) x common factors =2 x 1 = 2

LCM(804,974) = ( 804 × 974 ) / 2

LCM(804,974) = 783096 / 2

LCM(804,974) = 391548


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 3412/804, 4122/974

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 3412/804, 4122/974?

Answer: GCF of Numerators as per given numbers 3412/804, 4122/974 is

GCF of Numerators i.e. for 3412,4122 is 2

LCM of denominators i.e. for 804,974 is 391548.

Thus, GCF of Fractions is 2/391548.Finally, GCF of Fractions for 3412/804, 4122/974 is 2/391548.