GCD of 468, 600, 616, 731 Calculator

Given Input numbers are 468, 600, 616, 731

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (468, 600, 616, 731) = 1.

Given numbers are 468, 600, 616, 731

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 731 are 17 x 43

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

Given numbers are 468, 600, 616, 731

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

Apply this formula for all numbers.

Step1:

LCM(468, 600) = 23400

GCD(468, 600) = ( 468 x 600 ) / 23400

= 468 / 600

= 468

Step2:

LCM(12, 616) = 1848

GCD(12, 616) = ( 12 x 616 ) / 1848

= 12 / 616

= 12

Step3:

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

= 4 / 731

= 4

So, Greatest Common Divisor of 468, 600, 616, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 251, 217, 330
• GCD of 856, 249, 155, 519
• GCD of 639, 382, 766, 940
• GCD of 202, 716, 402, 100
• GCD of 127, 477, 770, 825

Given numbers are 468, 600, 616, 731
The greatest common divisor of numbers 468, 600, 616, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 600, 616, 731 is 1.

1. What is the GCD of 468, 600, 616, 731?

GCD of given numbers 468, 600, 616, 731 is 1

2. How to calculate the greatest common divisor of 468, 600, 616, 731?

We can find the highest common divisor of 468, 600, 616, 731 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 468, 600, 616, 731 i.e 1.

3. How can I use the GCD of 468, 600, 616, 731Calculator?

Out the numbers 468, 600, 616, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.