Greatest Common Factor of 616/324, 4334/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/324, 4334/834

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 616/324,4334/834

Given fractions are 616/324,4334/834

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 616,4334

Greatest Common Factor of Numerators i.e. GCF of 616,4334 is 22 .

LCM of Denominators means LCM of 324,834 as per the given fractions.

LCM of 324,834 is 45036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,4334

GCF of Fractions 616/324,4334/834 is 22/45036

2 616, 4334
11 308, 2167
28, 197

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 616,4334 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,4334 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 4334

List of positive integer factors of 4334 that divides 4334 without a remainder.

1,2,11,22,197,394,2167,4334

Greatest Common Factor

We found the factors 616,4334 . The biggest common factor number is the GCF number.
So the greatest common factor 616,4334 is 22.

Lets's calculate LCM of 324,834

2 324, 834
3 162, 417
54, 139

∴ So the LCM of the given numbers is 2 x 3 x 54 x 139 = 45036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/45036

Therefore, the GCF of Fractions 616/324,4334/834 is 22/45036

Least Common Multiple of 324,834 with GCF Formula

Least Common Multiple of 324,834 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 324,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,834) = 6

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

GCF(324,834) x common factors =6 x 1 = 6

LCM(324,834) = ( 324 × 834 ) / 6

LCM(324,834) = 270216 / 6

LCM(324,834) = 45036


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 616/324, 4334/834

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 616/324, 4334/834?

Answer: GCF of Numerators as per given numbers 616/324, 4334/834 is

GCF of Numerators i.e. for 616,4334 is 22

LCM of denominators i.e. for 324,834 is 45036.

Thus, GCF of Fractions is 22/45036.Finally, GCF of Fractions for 616/324, 4334/834 is 22/45036.