GCD of 456, 732, 867, 402 Calculator

Given Input numbers are 456, 732, 867, 402

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (456, 732, 867, 402) = 3.

Given numbers are 456, 732, 867, 402

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 867 are 3 x 17 x 17

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 456, 732, 867, 402 is 3.

Given numbers are 456, 732, 867, 402

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

Apply this formula for all numbers.

Step1:

LCM(456, 732) = 27816

GCD(456, 732) = ( 456 x 732 ) / 27816

= 456 / 732

= 456

Step2:

LCM(12, 867) = 3468

GCD(12, 867) = ( 12 x 867 ) / 3468

= 12 / 867

= 12

Step3:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 456, 732, 867, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 538, 504, 208
• GCD of 264, 538, 659, 327
• GCD of 333, 857, 284, 284
• GCD of 112, 909, 695, 822
• GCD of 455, 164, 151, 742

Given numbers are 456, 732, 867, 402
The greatest common divisor of numbers 456, 732, 867, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 732, 867, 402 is 3.

1. What is the GCD of 456, 732, 867, 402?

GCD of given numbers 456, 732, 867, 402 is 3

2. How to calculate the greatest common divisor of 456, 732, 867, 402?

We can find the highest common divisor of 456, 732, 867, 402 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 456, 732, 867, 402 i.e 3.

3. How can I use the GCD of 456, 732, 867, 402Calculator?

Out the numbers 456, 732, 867, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.