Greatest Common Factor of 3906/302, 7550/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3906/302, 7550/413

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 3906/302,7550/413

Given fractions are 3906/302,7550/413

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 3906,7550

Greatest Common Factor of Numerators i.e. GCF of 3906,7550 is 2 .

LCM of Denominators means LCM of 302,413 as per the given fractions.

LCM of 302,413 is 124726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3906,7550

GCF of Fractions 3906/302,7550/413 is 2/124726

2 3906, 7550
1953, 3775

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

Greatest Common Factor of 3906,7550 By Matching Biggest Common Factor Method

Greatest Common Factor of 3906,7550 By Matching Biggest Common Factor Method

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1,2,5,10,25,50,151,302,755,1510,3775,7550

Greatest Common Factor

We found the factors 3906,7550 . The biggest common factor number is the GCF number.
So the greatest common factor 3906,7550 is 2.

Lets's calculate LCM of 302,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 124726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124726

Therefore, the GCF of Fractions 3906/302,7550/413 is 2/124726

Least Common Multiple of 302,413 with GCF Formula

Least Common Multiple of 302,413 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 302,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(302,413) = 1

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

GCF(302,413) x common factors =1 x 1 = 1

LCM(302,413) = ( 302 × 413 ) / 1

LCM(302,413) = 124726 / 1

LCM(302,413) = 124726


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 3906/302, 7550/413

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 3906/302, 7550/413?

Answer: GCF of Numerators as per given numbers 3906/302, 7550/413 is

GCF of Numerators i.e. for 3906,7550 is 2

LCM of denominators i.e. for 302,413 is 124726.

Thus, GCF of Fractions is 2/124726.Finally, GCF of Fractions for 3906/302, 7550/413 is 2/124726.