Greatest Common Factor of 734/619, 8584/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 734/619, 8584/336

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 734/619,8584/336

Given fractions are 734/619,8584/336

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 734,8584

Greatest Common Factor of Numerators i.e. GCF of 734,8584 is 2 .

LCM of Denominators means LCM of 619,336 as per the given fractions.

LCM of 619,336 is 207984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 734,8584

GCF of Fractions 734/619,8584/336 is 2/207984

2 734, 8584
367, 4292

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

Greatest Common Factor of 734,8584 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,8584 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Greatest Common Factor

We found the factors 734,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 734,8584 is 2.

Lets's calculate LCM of 619,336

Given numbers has no common factors except 1. So, there LCM is their product i.e 207984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207984

Therefore, the GCF of Fractions 734/619,8584/336 is 2/207984

Least Common Multiple of 619,336 with GCF Formula

Least Common Multiple of 619,336 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 619,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,336) = 1

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

GCF(619,336) x common factors =1 x 1 = 1

LCM(619,336) = ( 619 × 336 ) / 1

LCM(619,336) = 207984 / 1

LCM(619,336) = 207984


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 734/619, 8584/336

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 734/619, 8584/336?

Answer: GCF of Numerators as per given numbers 734/619, 8584/336 is

GCF of Numerators i.e. for 734,8584 is 2

LCM of denominators i.e. for 619,336 is 207984.

Thus, GCF of Fractions is 2/207984.Finally, GCF of Fractions for 734/619, 8584/336 is 2/207984.