Greatest Common Factor of 6380/39, 2522/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6380/39, 2522/258

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 6380/39,2522/258

Given fractions are 6380/39,2522/258

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 6380,2522

Greatest Common Factor of Numerators i.e. GCF of 6380,2522 is 2 .

LCM of Denominators means LCM of 39,258 as per the given fractions.

LCM of 39,258 is 3354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6380,2522

GCF of Fractions 6380/39,2522/258 is 2/3354

2 6380, 2522
3190, 1261

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

Greatest Common Factor of 6380,2522 By Matching Biggest Common Factor Method

Greatest Common Factor of 6380,2522 By Matching Biggest Common Factor Method

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Factors of 2522

List of positive integer factors of 2522 that divides 2522 without a remainder.

1,2,13,26,97,194,1261,2522

Greatest Common Factor

We found the factors 6380,2522 . The biggest common factor number is the GCF number.
So the greatest common factor 6380,2522 is 2.

Lets's calculate LCM of 39,258

3 39, 258
13, 86

∴ So the LCM of the given numbers is 3 x 13 x 86 = 3354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3354

Therefore, the GCF of Fractions 6380/39,2522/258 is 2/3354

Least Common Multiple of 39,258 with GCF Formula

Least Common Multiple of 39,258 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 39,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,258) = 3

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

GCF(39,258) x common factors =3 x 1 = 3

LCM(39,258) = ( 39 × 258 ) / 3

LCM(39,258) = 10062 / 3

LCM(39,258) = 3354


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 6380/39, 2522/258

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 6380/39, 2522/258?

Answer: GCF of Numerators as per given numbers 6380/39, 2522/258 is

GCF of Numerators i.e. for 6380,2522 is 2

LCM of denominators i.e. for 39,258 is 3354.

Thus, GCF of Fractions is 2/3354.Finally, GCF of Fractions for 6380/39, 2522/258 is 2/3354.