GCD of 468, 312, 597, 762 Calculator

Given Input numbers are 468, 312, 597, 762

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (468, 312, 597, 762) = 3.

Given numbers are 468, 312, 597, 762

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 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 597 are 3 x 199

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 468, 312, 597, 762 is 3.

Given numbers are 468, 312, 597, 762

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

Apply this formula for all numbers.

Step1:

LCM(468, 312) = 936

GCD(468, 312) = ( 468 x 312 ) / 936

= 468 / 312

= 468

Step2:

LCM(156, 597) = 31044

GCD(156, 597) = ( 156 x 597 ) / 31044

= 156 / 597

= 156

Step3:

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

= 3 / 762

= 3

So, Greatest Common Divisor of 468, 312, 597, 762 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 298, 328, 333
• GCD of 327, 193, 159, 366
• GCD of 754, 826, 238, 673
• GCD of 186, 955, 101, 790
• GCD of 647, 590, 500, 921

Given numbers are 468, 312, 597, 762
The greatest common divisor of numbers 468, 312, 597, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 312, 597, 762 is 3.

1. What is the GCD of 468, 312, 597, 762?

GCD of given numbers 468, 312, 597, 762 is 3

2. How to calculate the greatest common divisor of 468, 312, 597, 762?

We can find the highest common divisor of 468, 312, 597, 762 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, 312, 597, 762 i.e 3.

3. How can I use the GCD of 468, 312, 597, 762Calculator?

Out the numbers 468, 312, 597, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.