GCD of 600, 564, 996, 745 Calculator

Given Input numbers are 600, 564, 996, 745

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 745 :

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

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (600, 564, 996, 745) = 1.

Given numbers are 600, 564, 996, 745

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 564 are 2 x 2 x 3 x 47

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 745 are 5 x 149

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

Given numbers are 600, 564, 996, 745

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

Apply this formula for all numbers.

Step1:

LCM(600, 564) = 28200

GCD(600, 564) = ( 600 x 564 ) / 28200

= 600 / 564

= 600

Step2:

LCM(12, 996) = 996

GCD(12, 996) = ( 12 x 996 ) / 996

= 12 / 996

= 12

Step3:

LCM(12, 745) = 8940

GCD(12, 745) = ( 12 x 745 ) / 8940

= 12 / 745

= 12

So, Greatest Common Divisor of 600, 564, 996, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 191, 621, 676
• GCD of 704, 662, 413, 585
• GCD of 726, 174, 208, 543
• GCD of 564, 734, 810, 718
• GCD of 867, 934, 286, 257

Given numbers are 600, 564, 996, 745
The greatest common divisor of numbers 600, 564, 996, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 564, 996, 745 is 1.

1. What is the GCD of 600, 564, 996, 745?

GCD of given numbers 600, 564, 996, 745 is 1

2. How to calculate the greatest common divisor of 600, 564, 996, 745?

We can find the highest common divisor of 600, 564, 996, 745 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, 564, 996, 745 i.e 1.

3. How can I use the GCD of 600, 564, 996, 745Calculator?

Out the numbers 600, 564, 996, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.