Greatest Common Factor of 598/658, 8623/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 598/658, 8623/318

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 598/658,8623/318

Given fractions are 598/658,8623/318

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 598,8623

Greatest Common Factor of Numerators i.e. GCF of 598,8623 is 1 .

LCM of Denominators means LCM of 658,318 as per the given fractions.

LCM of 658,318 is 104622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 598,8623

GCF of Fractions 598/658,8623/318 is 1/104622

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

Greatest Common Factor of 598,8623 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,8623 By Matching Biggest Common Factor Method

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 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1,8623

Greatest Common Factor

We found the factors 598,8623 . The biggest common factor number is the GCF number.
So the greatest common factor 598,8623 is 1.

Lets's calculate LCM of 658,318

2 658, 318
329, 159

∴ So the LCM of the given numbers is 2 x 329 x 159 = 104622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104622

Therefore, the GCF of Fractions 598/658,8623/318 is 1/104622

Least Common Multiple of 658,318 with GCF Formula

Least Common Multiple of 658,318 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 658,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,318) = 2

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

GCF(658,318) x common factors =2 x 1 = 2

LCM(658,318) = ( 658 × 318 ) / 2

LCM(658,318) = 209244 / 2

LCM(658,318) = 104622


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 598/658, 8623/318

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 598/658, 8623/318?

Answer: GCF of Numerators as per given numbers 598/658, 8623/318 is

GCF of Numerators i.e. for 598,8623 is 1

LCM of denominators i.e. for 658,318 is 104622.

Thus, GCF of Fractions is 1/104622.Finally, GCF of Fractions for 598/658, 8623/318 is 1/104622.