GCD of 462, 396, 69, 981 Calculator

Given Input numbers are 462, 396, 69, 981

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (462, 396, 69, 981) = 3.

Given numbers are 462, 396, 69, 981

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 69 are 3 x 23

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 462, 396, 69, 981 is 3.

Given numbers are 462, 396, 69, 981

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

Apply this formula for all numbers.

Step1:

LCM(462, 396) = 2772

GCD(462, 396) = ( 462 x 396 ) / 2772

= 462 / 396

= 462

Step2:

LCM(66, 69) = 1518

GCD(66, 69) = ( 66 x 69 ) / 1518

= 66 / 69

= 66

Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3

So, Greatest Common Divisor of 462, 396, 69, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 574, 83, 620
• GCD of 386, 153, 15, 810
• GCD of 874, 387, 17, 949
• GCD of 970, 891, 40, 341
• GCD of 871, 537, 80, 350

Given numbers are 462, 396, 69, 981
The greatest common divisor of numbers 462, 396, 69, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 396, 69, 981 is 3.

1. What is the GCD of 462, 396, 69, 981?

GCD of given numbers 462, 396, 69, 981 is 3

2. How to calculate the greatest common divisor of 462, 396, 69, 981?

We can find the highest common divisor of 462, 396, 69, 981 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 462, 396, 69, 981 i.e 3.

3. How can I use the GCD of 462, 396, 69, 981Calculator?

Out the numbers 462, 396, 69, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.