Greatest Common Factor of 945/278, 1006/6994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 945/278, 1006/6994

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 945/278,1006/6994

Given fractions are 945/278,1006/6994

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 945,1006

Greatest Common Factor of Numerators i.e. GCF of 945,1006 is 1 .

LCM of Denominators means LCM of 278,6994 as per the given fractions.

LCM of 278,6994 is 972166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 945,1006

GCF of Fractions 945/278,1006/6994 is 1/972166

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

Greatest Common Factor of 945,1006 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,1006 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Greatest Common Factor

We found the factors 945,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 945,1006 is 1.

Lets's calculate LCM of 278,6994

2 278, 6994
139, 3497

∴ So the LCM of the given numbers is 2 x 139 x 3497 = 972166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/972166

Therefore, the GCF of Fractions 945/278,1006/6994 is 1/972166

Least Common Multiple of 278,6994 with GCF Formula

Least Common Multiple of 278,6994 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 278,6994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,6994) = 2

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

GCF(278,6994) x common factors =2 x 1 = 2

LCM(278,6994) = ( 278 × 6994 ) / 2

LCM(278,6994) = 1944332 / 2

LCM(278,6994) = 972166


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 945/278, 1006/6994

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 945/278, 1006/6994?

Answer: GCF of Numerators as per given numbers 945/278, 1006/6994 is

GCF of Numerators i.e. for 945,1006 is 1

LCM of denominators i.e. for 278,6994 is 972166.

Thus, GCF of Fractions is 1/972166.Finally, GCF of Fractions for 945/278, 1006/6994 is 1/972166.