GCD of 972, 166, 428, 506 Calculator

Given Input numbers are 972, 166, 428, 506

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 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (972, 166, 428, 506) = 2.

Given numbers are 972, 166, 428, 506

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 166 are 2 x 83

Prime factors of 428 are 2 x 2 x 107

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 972, 166, 428, 506 is 2.

Given numbers are 972, 166, 428, 506

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

Apply this formula for all numbers.

Step1:

LCM(972, 166) = 80676

GCD(972, 166) = ( 972 x 166 ) / 80676

= 972 / 166

= 972

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 972, 166, 428, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 985, 648, 115
• GCD of 878, 942, 430, 941
• GCD of 785, 506, 927, 742
• GCD of 894, 417, 111, 544
• GCD of 636, 883, 598, 480

Given numbers are 972, 166, 428, 506
The greatest common divisor of numbers 972, 166, 428, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 166, 428, 506 is 2.

1. What is the GCD of 972, 166, 428, 506?

GCD of given numbers 972, 166, 428, 506 is 2

2. How to calculate the greatest common divisor of 972, 166, 428, 506?

We can find the highest common divisor of 972, 166, 428, 506 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, 166, 428, 506 i.e 2.

3. How can I use the GCD of 972, 166, 428, 506Calculator?

Out the numbers 972, 166, 428, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.