GCD of 532, 742, 336 Calculator

Given Input numbers are 532, 742, 336

In the factoring method, we have to find the divisors of all numbers

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (532, 742, 336) = 14.

Given numbers are 532, 742, 336

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 742 are 2 x 7 x 53

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 532, 742, 336 is 14.

Given numbers are 532, 742, 336

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(532, 742) = 28196

GCD(532, 742) = ( 532 x 742 ) / 28196

= 532 / 742

= 532

Step2:

LCM(14, 336) = 336

GCD(14, 336) = ( 14 x 336 ) / 336

= 14 / 336

= 14

So, Greatest Common Divisor of 532, 742, 336 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 948, 122
• GCD of 905, 299, 976
• GCD of 702, 545, 296
• GCD of 408, 250, 757
• GCD of 880, 366, 287

Given numbers are 532, 742, 336
The greatest common divisor of numbers 532, 742, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 742, 336 is 14.

1. What is the GCD of 532, 742, 336?

GCD of given numbers 532, 742, 336 is 14

2. How to calculate the greatest common divisor of 532, 742, 336?

We can find the highest common divisor of 532, 742, 336 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 532, 742, 336 i.e 14.

3. How can I use the GCD of 532, 742, 336Calculator?

Out the numbers 532, 742, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.