GCD of 600, 432, 532, 354 Calculator

Given Input numbers are 600, 432, 532, 354

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (600, 432, 532, 354) = 2.

Given numbers are 600, 432, 532, 354

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 600, 432, 532, 354 is 2.

Given numbers are 600, 432, 532, 354

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

Apply this formula for all numbers.

Step1:

LCM(600, 432) = 10800

GCD(600, 432) = ( 600 x 432 ) / 10800

= 600 / 432

= 600

Step2:

LCM(24, 532) = 3192

GCD(24, 532) = ( 24 x 532 ) / 3192

= 24 / 532

= 24

Step3:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

So, Greatest Common Divisor of 600, 432, 532, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 392, 846, 528
• GCD of 264, 657, 338, 758
• GCD of 509, 110, 859, 426
• GCD of 897, 928, 958, 930
• GCD of 898, 603, 702, 774

Given numbers are 600, 432, 532, 354
The greatest common divisor of numbers 600, 432, 532, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 432, 532, 354 is 2.

1. What is the GCD of 600, 432, 532, 354?

GCD of given numbers 600, 432, 532, 354 is 2

2. How to calculate the greatest common divisor of 600, 432, 532, 354?

We can find the highest common divisor of 600, 432, 532, 354 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 600, 432, 532, 354 i.e 2.

3. How can I use the GCD of 600, 432, 532, 354Calculator?

Out the numbers 600, 432, 532, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.