GCD of 600, 960, 745, 142 Calculator

Given Input numbers are 600, 960, 745, 142

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (600, 960, 745, 142) = 1.

Given numbers are 600, 960, 745, 142

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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 745 are 5 x 149

Prime factors of 142 are 2 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 600, 960, 745, 142

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

Apply this formula for all numbers.

Step1:

LCM(600, 960) = 4800

GCD(600, 960) = ( 600 x 960 ) / 4800

= 600 / 960

= 600

Step2:

LCM(120, 745) = 17880

GCD(120, 745) = ( 120 x 745 ) / 17880

= 120 / 745

= 120

Step3:

LCM(5, 142) = 710

GCD(5, 142) = ( 5 x 142 ) / 710

= 5 / 142

= 5

So, Greatest Common Divisor of 600, 960, 745, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 353, 272, 896
• GCD of 548, 396, 722, 506
• GCD of 483, 176, 822, 789
• GCD of 624, 565, 853, 431
• GCD of 873, 974, 274, 941

Given numbers are 600, 960, 745, 142
The greatest common divisor of numbers 600, 960, 745, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 960, 745, 142 is 1.

1. What is the GCD of 600, 960, 745, 142?

GCD of given numbers 600, 960, 745, 142 is 1

2. How to calculate the greatest common divisor of 600, 960, 745, 142?

We can find the highest common divisor of 600, 960, 745, 142 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, 960, 745, 142 i.e 1.

3. How can I use the GCD of 600, 960, 745, 142Calculator?

Out the numbers 600, 960, 745, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.