Greatest Common Factor of 294/697, 667/186, 743/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 294/697, 667/186, 743/678

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 294/697,667/186,743/678

Given fractions are 294/697,667/186,743/678

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 294,667,743

Greatest Common Factor of Numerators i.e. GCF of 294,667,743 is 1 .

LCM of Denominators means LCM of 697,186,678 as per the given fractions.

LCM of 697,186,678 is 14649546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 294,667,743

GCF of Fractions 294/697,667/186,743/678 is 1/14649546

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

Greatest Common Factor of 294,667,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,667,743 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 294,667,743 . The biggest common factor number is the GCF number.
So the greatest common factor 294,667,743 is 1.

Lets's calculate LCM of 697,186,678

2 697, 186, 678
3 697, 93, 339
697, 31, 113

∴ So the LCM of the given numbers is 2 x 3 x 697 x 31 x 113 = 14649546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14649546

Therefore, the GCF of Fractions 294/697,667/186,743/678 is 1/14649546

Least Common Multiple of 697,186,678 with GCF Formula

Least Common Multiple of 697,186,678 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 697,186,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,186,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(697,186,678) x common factors =1 x 6 = 6

LCM(697,186,678) = ( 697 × 186 × 678 ) / 6

LCM(697,186,678) = 87897276 / 6

LCM(697,186,678) = 14649546


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 294/697, 667/186, 743/678

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 294/697, 667/186, 743/678?

Answer: GCF of Numerators as per given numbers 294/697, 667/186, 743/678 is

GCF of Numerators i.e. for 294,667,743 is 1

LCM of denominators i.e. for 697,186,678 is 14649546.

Thus, GCF of Fractions is 1/14649546.Finally, GCF of Fractions for 294/697, 667/186, 743/678 is 1/14649546.