Greatest Common Factor of 80/294, 598/283, 463/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/294, 598/283, 463/367

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 80/294,598/283,463/367

Given fractions are 80/294,598/283,463/367

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 80,598,463

Greatest Common Factor of Numerators i.e. GCF of 80,598,463 is 1 .

LCM of Denominators means LCM of 294,283,367 as per the given fractions.

LCM of 294,283,367 is 30535134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,598,463

GCF of Fractions 80/294,598/283,463/367 is 1/30535134

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

Greatest Common Factor of 80,598,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,598,463 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 80,598,463 . The biggest common factor number is the GCF number.
So the greatest common factor 80,598,463 is 1.

Lets's calculate LCM of 294,283,367

Given numbers has no common factors except 1. So, there LCM is their product i.e 30535134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30535134

Therefore, the GCF of Fractions 80/294,598/283,463/367 is 1/30535134

Least Common Multiple of 294,283,367 with GCF Formula

Least Common Multiple of 294,283,367 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 294,283,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,283,367) = 1

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

GCF(294,283,367) x common factors =1 x 1 = 1

LCM(294,283,367) = ( 294 × 283 × 367 ) / 1

LCM(294,283,367) = 30535134 / 1

LCM(294,283,367) = 30535134


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 80/294, 598/283, 463/367

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 80/294, 598/283, 463/367?

Answer: GCF of Numerators as per given numbers 80/294, 598/283, 463/367 is

GCF of Numerators i.e. for 80,598,463 is 1

LCM of denominators i.e. for 294,283,367 is 30535134.

Thus, GCF of Fractions is 1/30535134.Finally, GCF of Fractions for 80/294, 598/283, 463/367 is 1/30535134.