Greatest Common Factor of 3801/934, 2697/7604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3801/934, 2697/7604

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 3801/934,2697/7604

Given fractions are 3801/934,2697/7604

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 3801,2697

Greatest Common Factor of Numerators i.e. GCF of 3801,2697 is 3 .

LCM of Denominators means LCM of 934,7604 as per the given fractions.

LCM of 934,7604 is 3551068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3801,2697

GCF of Fractions 3801/934,2697/7604 is 3/3551068

3 3801, 2697
1267, 899

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3801,2697 By Matching Biggest Common Factor Method

Greatest Common Factor of 3801,2697 By Matching Biggest Common Factor Method

Factors of 3801

List of positive integer factors of 3801 that divides 3801 without a remainder.

1,3,7,21,181,543,1267,3801

Factors of 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1,3,29,31,87,93,899,2697

Greatest Common Factor

We found the factors 3801,2697 . The biggest common factor number is the GCF number.
So the greatest common factor 3801,2697 is 3.

Lets's calculate LCM of 934,7604

2 934, 7604
467, 3802

∴ So the LCM of the given numbers is 2 x 467 x 3802 = 3551068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3551068

Therefore, the GCF of Fractions 3801/934,2697/7604 is 3/3551068

Least Common Multiple of 934,7604 with GCF Formula

Least Common Multiple of 934,7604 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 934,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,7604) = 2

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

GCF(934,7604) x common factors =2 x 1 = 2

LCM(934,7604) = ( 934 × 7604 ) / 2

LCM(934,7604) = 7102136 / 2

LCM(934,7604) = 3551068


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 3801/934, 2697/7604

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 3801/934, 2697/7604?

Answer: GCF of Numerators as per given numbers 3801/934, 2697/7604 is

GCF of Numerators i.e. for 3801,2697 is 3

LCM of denominators i.e. for 934,7604 is 3551068.

Thus, GCF of Fractions is 3/3551068.Finally, GCF of Fractions for 3801/934, 2697/7604 is 3/3551068.