Greatest Common Factor of 604/533, 898/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 604/533, 898/314

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 604/533,898/314

Given fractions are 604/533,898/314

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 604,898

Greatest Common Factor of Numerators i.e. GCF of 604,898 is 2 .

LCM of Denominators means LCM of 533,314 as per the given fractions.

LCM of 533,314 is 167362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 604,898

GCF of Fractions 604/533,898/314 is 2/167362

2 604, 898
302, 449

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 604,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,898 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 604,898 . The biggest common factor number is the GCF number.
So the greatest common factor 604,898 is 2.

Lets's calculate LCM of 533,314

Given numbers has no common factors except 1. So, there LCM is their product i.e 167362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167362

Therefore, the GCF of Fractions 604/533,898/314 is 2/167362

Least Common Multiple of 533,314 with GCF Formula

Least Common Multiple of 533,314 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 533,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,314) = 1

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

GCF(533,314) x common factors =1 x 1 = 1

LCM(533,314) = ( 533 × 314 ) / 1

LCM(533,314) = 167362 / 1

LCM(533,314) = 167362


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 604/533, 898/314

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 604/533, 898/314?

Answer: GCF of Numerators as per given numbers 604/533, 898/314 is

GCF of Numerators i.e. for 604,898 is 2

LCM of denominators i.e. for 533,314 is 167362.

Thus, GCF of Fractions is 2/167362.Finally, GCF of Fractions for 604/533, 898/314 is 2/167362.