GCD of 420, 324, 978, 957 Calculator

Given Input numbers are 420, 324, 978, 957

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

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 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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (420, 324, 978, 957) = 3.

Given numbers are 420, 324, 978, 957

The list of prime factors of all numbers are

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

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 957 are 3 x 11 x 29

The highest common occurrence is 3¹

Therefore, GCD of 420, 324, 978, 957 is 3.

Given numbers are 420, 324, 978, 957

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

Apply this formula for all numbers.

Step1:

LCM(420, 324) = 11340

GCD(420, 324) = ( 420 x 324 ) / 11340

= 420 / 324

= 420

Step2:

LCM(12, 978) = 1956

GCD(12, 978) = ( 12 x 978 ) / 1956

= 12 / 978

= 12

Step3:

LCM(6, 957) = 1914

GCD(6, 957) = ( 6 x 957 ) / 1914

= 6 / 957

= 6

So, Greatest Common Divisor of 420, 324, 978, 957 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 768, 867, 107
• GCD of 640, 164, 881, 131
• GCD of 803, 204, 499, 885
• GCD of 281, 591, 156, 447
• GCD of 262, 884, 589, 793

Given numbers are 420, 324, 978, 957
The greatest common divisor of numbers 420, 324, 978, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 324, 978, 957 is 3.

1. What is the GCD of 420, 324, 978, 957?

GCD of given numbers 420, 324, 978, 957 is 3

2. How to calculate the greatest common divisor of 420, 324, 978, 957?

We can find the highest common divisor of 420, 324, 978, 957 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 420, 324, 978, 957 i.e 3.

3. How can I use the GCD of 420, 324, 978, 957Calculator?

Out the numbers 420, 324, 978, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.