GCD of 126, 162, 360, 992 Calculator

Given Input numbers are 126, 162, 360, 992

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 162 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (126, 162, 360, 992) = 2.

Given numbers are 126, 162, 360, 992

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 126, 162, 360, 992 is 2.

Given numbers are 126, 162, 360, 992

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

Apply this formula for all numbers.

Step1:

LCM(126, 162) = 1134

GCD(126, 162) = ( 126 x 162 ) / 1134

= 126 / 162

= 126

Step2:

LCM(18, 360) = 360

GCD(18, 360) = ( 18 x 360 ) / 360

= 18 / 360

= 18

Step3:

LCM(18, 992) = 8928

GCD(18, 992) = ( 18 x 992 ) / 8928

= 18 / 992

= 18

So, Greatest Common Divisor of 126, 162, 360, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 143, 337, 746
• GCD of 807, 757, 416, 601
• GCD of 500, 765, 198, 631
• GCD of 415, 559, 908, 109
• GCD of 409, 469, 753, 262

Given numbers are 126, 162, 360, 992
The greatest common divisor of numbers 126, 162, 360, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 162, 360, 992 is 2.

1. What is the GCD of 126, 162, 360, 992?

GCD of given numbers 126, 162, 360, 992 is 2

2. How to calculate the greatest common divisor of 126, 162, 360, 992?

We can find the highest common divisor of 126, 162, 360, 992 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 126, 162, 360, 992 i.e 2.

3. How can I use the GCD of 126, 162, 360, 992Calculator?

Out the numbers 126, 162, 360, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.