Greatest Common Factor of 606/16, 734/40, 216/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/16, 734/40, 216/704

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 606/16,734/40,216/704

Given fractions are 606/16,734/40,216/704

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 606,734,216

Greatest Common Factor of Numerators i.e. GCF of 606,734,216 is 2 .

LCM of Denominators means LCM of 16,40,704 as per the given fractions.

LCM of 16,40,704 is 3520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,734,216

GCF of Fractions 606/16,734/40,216/704 is 2/3520

2 606, 734, 216
303, 367, 108

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

Greatest Common Factor of 606,734,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,734,216 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 734

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

1,2,367,734

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 606,734,216 . The biggest common factor number is the GCF number.
So the greatest common factor 606,734,216 is 2.

Lets's calculate LCM of 16,40,704

2 16, 40, 704
2 8, 20, 352
2 4, 10, 176
2 2, 5, 88
1, 5, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 5 x 44 = 3520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3520

Therefore, the GCF of Fractions 606/16,734/40,216/704 is 2/3520

Least Common Multiple of 16,40,704 with GCF Formula

Least Common Multiple of 16,40,704 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 16,40,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,40,704) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(16,40,704) x common factors =8 x 16 = 128

LCM(16,40,704) = ( 16 × 40 × 704 ) / 128

LCM(16,40,704) = 450560 / 128

LCM(16,40,704) = 3520


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 606/16, 734/40, 216/704

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 606/16, 734/40, 216/704?

Answer: GCF of Numerators as per given numbers 606/16, 734/40, 216/704 is

GCF of Numerators i.e. for 606,734,216 is 2

LCM of denominators i.e. for 16,40,704 is 3520.

Thus, GCF of Fractions is 2/3520.Finally, GCF of Fractions for 606/16, 734/40, 216/704 is 2/3520.