Greatest Common Factor of 251/19, 3338/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 251/19, 3338/661

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 251/19,3338/661

Given fractions are 251/19,3338/661

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 251,3338

Greatest Common Factor of Numerators i.e. GCF of 251,3338 is 1 .

LCM of Denominators means LCM of 19,661 as per the given fractions.

LCM of 19,661 is 12559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 251,3338

GCF of Fractions 251/19,3338/661 is 1/12559

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 251,3338 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,3338 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1,2,1669,3338

Greatest Common Factor

We found the factors 251,3338 . The biggest common factor number is the GCF number.
So the greatest common factor 251,3338 is 1.

Lets's calculate LCM of 19,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 12559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12559

Therefore, the GCF of Fractions 251/19,3338/661 is 1/12559

Least Common Multiple of 19,661 with GCF Formula

Least Common Multiple of 19,661 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 19,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,661) = 1

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

GCF(19,661) x common factors =1 x 1 = 1

LCM(19,661) = ( 19 × 661 ) / 1

LCM(19,661) = 12559 / 1

LCM(19,661) = 12559


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 251/19, 3338/661

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 251/19, 3338/661?

Answer: GCF of Numerators as per given numbers 251/19, 3338/661 is

GCF of Numerators i.e. for 251,3338 is 1

LCM of denominators i.e. for 19,661 is 12559.

Thus, GCF of Fractions is 1/12559.Finally, GCF of Fractions for 251/19, 3338/661 is 1/12559.