Greatest Common Factor of 493/782, 4254/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 493/782, 4254/905

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 493/782,4254/905

Given fractions are 493/782,4254/905

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 493,4254

Greatest Common Factor of Numerators i.e. GCF of 493,4254 is 1 .

LCM of Denominators means LCM of 782,905 as per the given fractions.

LCM of 782,905 is 707710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 493,4254

GCF of Fractions 493/782,4254/905 is 1/707710

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

Greatest Common Factor of 493,4254 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,4254 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 4254

List of positive integer factors of 4254 that divides 4254 without a remainder.

1,2,3,6,709,1418,2127,4254

Greatest Common Factor

We found the factors 493,4254 . The biggest common factor number is the GCF number.
So the greatest common factor 493,4254 is 1.

Lets's calculate LCM of 782,905

Given numbers has no common factors except 1. So, there LCM is their product i.e 707710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707710

Therefore, the GCF of Fractions 493/782,4254/905 is 1/707710

Least Common Multiple of 782,905 with GCF Formula

Least Common Multiple of 782,905 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 782,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,905) = 1

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

GCF(782,905) x common factors =1 x 1 = 1

LCM(782,905) = ( 782 × 905 ) / 1

LCM(782,905) = 707710 / 1

LCM(782,905) = 707710


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 493/782, 4254/905

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 493/782, 4254/905?

Answer: GCF of Numerators as per given numbers 493/782, 4254/905 is

GCF of Numerators i.e. for 493,4254 is 1

LCM of denominators i.e. for 782,905 is 707710.

Thus, GCF of Fractions is 1/707710.Finally, GCF of Fractions for 493/782, 4254/905 is 1/707710.