Greatest Common Factor of 694/1366, 978/7749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/1366, 978/7749

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 694/1366,978/7749

Given fractions are 694/1366,978/7749

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 694,978

Greatest Common Factor of Numerators i.e. GCF of 694,978 is 2 .

LCM of Denominators means LCM of 1366,7749 as per the given fractions.

LCM of 1366,7749 is 10585134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,978

GCF of Fractions 694/1366,978/7749 is 2/10585134

2 694, 978
347, 489

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

Greatest Common Factor of 694,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,978 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 694,978 . The biggest common factor number is the GCF number.
So the greatest common factor 694,978 is 2.

Lets's calculate LCM of 1366,7749

Given numbers has no common factors except 1. So, there LCM is their product i.e 10585134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10585134

Therefore, the GCF of Fractions 694/1366,978/7749 is 2/10585134

Least Common Multiple of 1366,7749 with GCF Formula

Least Common Multiple of 1366,7749 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 1366,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1366,7749) = 1

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

GCF(1366,7749) x common factors =1 x 1 = 1

LCM(1366,7749) = ( 1366 × 7749 ) / 1

LCM(1366,7749) = 10585134 / 1

LCM(1366,7749) = 10585134


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 694/1366, 978/7749

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 694/1366, 978/7749?

Answer: GCF of Numerators as per given numbers 694/1366, 978/7749 is

GCF of Numerators i.e. for 694,978 is 2

LCM of denominators i.e. for 1366,7749 is 10585134.

Thus, GCF of Fractions is 2/10585134.Finally, GCF of Fractions for 694/1366, 978/7749 is 2/10585134.