GCD of 972, 732, 922, 466 Calculator

Given Input numbers are 972, 732, 922, 466

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (972, 732, 922, 466) = 2.

Given numbers are 972, 732, 922, 466

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 922 are 2 x 461

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 972, 732, 922, 466 is 2.

Given numbers are 972, 732, 922, 466

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

Apply this formula for all numbers.

Step1:

LCM(972, 732) = 59292

GCD(972, 732) = ( 972 x 732 ) / 59292

= 972 / 732

= 972

Step2:

LCM(12, 922) = 5532

GCD(12, 922) = ( 12 x 922 ) / 5532

= 12 / 922

= 12

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 972, 732, 922, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 336, 109, 846
• GCD of 354, 180, 321, 778
• GCD of 588, 251, 488, 177
• GCD of 864, 530, 358, 658
• GCD of 956, 605, 601, 436

Given numbers are 972, 732, 922, 466
The greatest common divisor of numbers 972, 732, 922, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 732, 922, 466 is 2.

1. What is the GCD of 972, 732, 922, 466?

GCD of given numbers 972, 732, 922, 466 is 2

2. How to calculate the greatest common divisor of 972, 732, 922, 466?

We can find the highest common divisor of 972, 732, 922, 466 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 972, 732, 922, 466 i.e 2.

3. How can I use the GCD of 972, 732, 922, 466Calculator?

Out the numbers 972, 732, 922, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.