Greatest Common Factor of 493/37, 814/3910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/37, 814/3910

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 493/37,814/3910

Given fractions are 493/37,814/3910

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 493,814

Greatest Common Factor of Numerators i.e. GCF of 493,814 is 1 .

LCM of Denominators means LCM of 37,3910 as per the given fractions.

LCM of 37,3910 is 144670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,814

GCF of Fractions 493/37,814/3910 is 1/144670

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

Greatest Common Factor of 493,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,814 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 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 493,814 . The biggest common factor number is the GCF number.
So the greatest common factor 493,814 is 1.

Lets's calculate LCM of 37,3910

Given numbers has no common factors except 1. So, there LCM is their product i.e 144670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144670

Therefore, the GCF of Fractions 493/37,814/3910 is 1/144670

Least Common Multiple of 37,3910 with GCF Formula

Least Common Multiple of 37,3910 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 37,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,3910) = 1

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

GCF(37,3910) x common factors =1 x 1 = 1

LCM(37,3910) = ( 37 × 3910 ) / 1

LCM(37,3910) = 144670 / 1

LCM(37,3910) = 144670


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, 814/3910

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, 814/3910?

Answer: GCF of Numerators as per given numbers 493/37, 814/3910 is

GCF of Numerators i.e. for 493,814 is 1

LCM of denominators i.e. for 37,3910 is 144670.

Thus, GCF of Fractions is 1/144670.Finally, GCF of Fractions for 493/37, 814/3910 is 1/144670.