GCD of 972, 610, 262, 162 Calculator

Given Input numbers are 972, 610, 262, 162

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 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (972, 610, 262, 162) = 2.

Given numbers are 972, 610, 262, 162

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 610 are 2 x 5 x 61

Prime factors of 262 are 2 x 131

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 972, 610, 262, 162 is 2.

Given numbers are 972, 610, 262, 162

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

Apply this formula for all numbers.

Step1:

LCM(972, 610) = 296460

GCD(972, 610) = ( 972 x 610 ) / 296460

= 972 / 610

= 972

Step2:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 972, 610, 262, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 839, 880, 926
• GCD of 676, 394, 893, 273
• GCD of 921, 791, 162, 861
• GCD of 159, 734, 280, 152
• GCD of 441, 769, 539, 928

Given numbers are 972, 610, 262, 162
The greatest common divisor of numbers 972, 610, 262, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 610, 262, 162 is 2.

1. What is the GCD of 972, 610, 262, 162?

GCD of given numbers 972, 610, 262, 162 is 2

2. How to calculate the greatest common divisor of 972, 610, 262, 162?

We can find the highest common divisor of 972, 610, 262, 162 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, 610, 262, 162 i.e 2.

3. How can I use the GCD of 972, 610, 262, 162Calculator?

Out the numbers 972, 610, 262, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.