Greatest Common Factor of 5008/266, 1109/3662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5008/266, 1109/3662

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 5008/266,1109/3662

Given fractions are 5008/266,1109/3662

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 5008,1109

Greatest Common Factor of Numerators i.e. GCF of 5008,1109 is 1 .

LCM of Denominators means LCM of 266,3662 as per the given fractions.

LCM of 266,3662 is 487046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5008,1109

GCF of Fractions 5008/266,1109/3662 is 1/487046

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

Greatest Common Factor of 5008,1109 By Matching Biggest Common Factor Method

Greatest Common Factor of 5008,1109 By Matching Biggest Common Factor Method

Factors of 5008

List of positive integer factors of 5008 that divides 5008 without a remainder.

1,2,4,8,16,313,626,1252,2504,5008

Factors of 1109

List of positive integer factors of 1109 that divides 1109 without a remainder.

1,1109

Greatest Common Factor

We found the factors 5008,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 5008,1109 is 1.

Lets's calculate LCM of 266,3662

2 266, 3662
133, 1831

∴ So the LCM of the given numbers is 2 x 133 x 1831 = 487046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487046

Therefore, the GCF of Fractions 5008/266,1109/3662 is 1/487046

Least Common Multiple of 266,3662 with GCF Formula

Least Common Multiple of 266,3662 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 266,3662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,3662) = 2

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

GCF(266,3662) x common factors =2 x 1 = 2

LCM(266,3662) = ( 266 × 3662 ) / 2

LCM(266,3662) = 974092 / 2

LCM(266,3662) = 487046


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 5008/266, 1109/3662

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 5008/266, 1109/3662?

Answer: GCF of Numerators as per given numbers 5008/266, 1109/3662 is

GCF of Numerators i.e. for 5008,1109 is 1

LCM of denominators i.e. for 266,3662 is 487046.

Thus, GCF of Fractions is 1/487046.Finally, GCF of Fractions for 5008/266, 1109/3662 is 1/487046.