GCD of 976, 736, 22, 492 Calculator

Given Input numbers are 976, 736, 22, 492

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (976, 736, 22, 492) = 2.

Given numbers are 976, 736, 22, 492

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 22 are 2 x 11

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 976, 736, 22, 492 is 2.

Given numbers are 976, 736, 22, 492

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

Apply this formula for all numbers.

Step1:

LCM(976, 736) = 44896

GCD(976, 736) = ( 976 x 736 ) / 44896

= 976 / 736

= 976

Step2:

LCM(16, 22) = 176

GCD(16, 22) = ( 16 x 22 ) / 176

= 16 / 22

= 16

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 976, 736, 22, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 458, 23, 170
• GCD of 730, 116, 18, 388
• GCD of 494, 583, 20, 556
• GCD of 168, 485, 12, 913
• GCD of 181, 805, 70, 208

Given numbers are 976, 736, 22, 492
The greatest common divisor of numbers 976, 736, 22, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 736, 22, 492 is 2.

1. What is the GCD of 976, 736, 22, 492?

GCD of given numbers 976, 736, 22, 492 is 2

2. How to calculate the greatest common divisor of 976, 736, 22, 492?

We can find the highest common divisor of 976, 736, 22, 492 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 976, 736, 22, 492 i.e 2.

3. How can I use the GCD of 976, 736, 22, 492Calculator?

Out the numbers 976, 736, 22, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.