Greatest Common Factor of 8918/17, 2007/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8918/17, 2007/278

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 8918/17,2007/278

Given fractions are 8918/17,2007/278

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 8918,2007

Greatest Common Factor of Numerators i.e. GCF of 8918,2007 is 1 .

LCM of Denominators means LCM of 17,278 as per the given fractions.

LCM of 17,278 is 4726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8918,2007

GCF of Fractions 8918/17,2007/278 is 1/4726

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

Greatest Common Factor of 8918,2007 By Matching Biggest Common Factor Method

Greatest Common Factor of 8918,2007 By Matching Biggest Common Factor Method

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Factors of 2007

List of positive integer factors of 2007 that divides 2007 without a remainder.

1,3,9,223,669,2007

Greatest Common Factor

We found the factors 8918,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,2007 is 1.

Lets's calculate LCM of 17,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 4726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4726

Therefore, the GCF of Fractions 8918/17,2007/278 is 1/4726

Least Common Multiple of 17,278 with GCF Formula

Least Common Multiple of 17,278 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 17,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,278) = 1

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

GCF(17,278) x common factors =1 x 1 = 1

LCM(17,278) = ( 17 × 278 ) / 1

LCM(17,278) = 4726 / 1

LCM(17,278) = 4726


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 8918/17, 2007/278

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 8918/17, 2007/278?

Answer: GCF of Numerators as per given numbers 8918/17, 2007/278 is

GCF of Numerators i.e. for 8918,2007 is 1

LCM of denominators i.e. for 17,278 is 4726.

Thus, GCF of Fractions is 1/4726.Finally, GCF of Fractions for 8918/17, 2007/278 is 1/4726.