GCD of 324, 969, 420, 987 Calculator

Given Input numbers are 324, 969, 420, 987

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (324, 969, 420, 987) = 3.

Given numbers are 324, 969, 420, 987

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 969 are 3 x 17 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 324, 969, 420, 987 is 3.

Given numbers are 324, 969, 420, 987

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

Apply this formula for all numbers.

Step1:

LCM(324, 969) = 104652

GCD(324, 969) = ( 324 x 969 ) / 104652

= 324 / 969

= 324

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 324, 969, 420, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 271, 254, 147
• GCD of 295, 471, 505, 482
• GCD of 439, 574, 781, 821
• GCD of 266, 775, 563, 332
• GCD of 883, 356, 429, 422

Given numbers are 324, 969, 420, 987
The greatest common divisor of numbers 324, 969, 420, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 969, 420, 987 is 3.

1. What is the GCD of 324, 969, 420, 987?

GCD of given numbers 324, 969, 420, 987 is 3

2. How to calculate the greatest common divisor of 324, 969, 420, 987?

We can find the highest common divisor of 324, 969, 420, 987 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 324, 969, 420, 987 i.e 3.

3. How can I use the GCD of 324, 969, 420, 987Calculator?

Out the numbers 324, 969, 420, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.