Greatest Common Factor of 3626/214, 6520/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3626/214, 6520/249

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 3626/214,6520/249

Given fractions are 3626/214,6520/249

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 3626,6520

Greatest Common Factor of Numerators i.e. GCF of 3626,6520 is 2 .

LCM of Denominators means LCM of 214,249 as per the given fractions.

LCM of 214,249 is 53286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3626,6520

GCF of Fractions 3626/214,6520/249 is 2/53286

2 3626, 6520
1813, 3260

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

Greatest Common Factor of 3626,6520 By Matching Biggest Common Factor Method

Greatest Common Factor of 3626,6520 By Matching Biggest Common Factor Method

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1,2,7,14,37,49,74,98,259,518,1813,3626

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520

Greatest Common Factor

We found the factors 3626,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,6520 is 2.

Lets's calculate LCM of 214,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 53286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53286

Therefore, the GCF of Fractions 3626/214,6520/249 is 2/53286

Least Common Multiple of 214,249 with GCF Formula

Least Common Multiple of 214,249 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 214,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,249) = 1

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

GCF(214,249) x common factors =1 x 1 = 1

LCM(214,249) = ( 214 × 249 ) / 1

LCM(214,249) = 53286 / 1

LCM(214,249) = 53286


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 3626/214, 6520/249

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 3626/214, 6520/249?

Answer: GCF of Numerators as per given numbers 3626/214, 6520/249 is

GCF of Numerators i.e. for 3626,6520 is 2

LCM of denominators i.e. for 214,249 is 53286.

Thus, GCF of Fractions is 2/53286.Finally, GCF of Fractions for 3626/214, 6520/249 is 2/53286.