Greatest Common Factor of 493/37, 378/84, 710/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/37, 378/84, 710/689

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 493/37,378/84,710/689

Given fractions are 493/37,378/84,710/689

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 493,378,710

Greatest Common Factor of Numerators i.e. GCF of 493,378,710 is 1 .

LCM of Denominators means LCM of 37,84,689 as per the given fractions.

LCM of 37,84,689 is 2141412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,378,710

GCF of Fractions 493/37,378/84,710/689 is 1/2141412

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

Greatest Common Factor of 493,378,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,378,710 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 493,378,710 . The biggest common factor number is the GCF number.
So the greatest common factor 493,378,710 is 1.

Lets's calculate LCM of 37,84,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 2141412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2141412

Therefore, the GCF of Fractions 493/37,378/84,710/689 is 1/2141412

Least Common Multiple of 37,84,689 with GCF Formula

Least Common Multiple of 37,84,689 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 37,84,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,84,689) = 1

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

GCF(37,84,689) x common factors =1 x 1 = 1

LCM(37,84,689) = ( 37 × 84 × 689 ) / 1

LCM(37,84,689) = 2141412 / 1

LCM(37,84,689) = 2141412


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 493/37, 378/84, 710/689

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 493/37, 378/84, 710/689?

Answer: GCF of Numerators as per given numbers 493/37, 378/84, 710/689 is

GCF of Numerators i.e. for 493,378,710 is 1

LCM of denominators i.e. for 37,84,689 is 2141412.

Thus, GCF of Fractions is 1/2141412.Finally, GCF of Fractions for 493/37, 378/84, 710/689 is 1/2141412.