GCD of 420, 978, 984, 359 Calculator

Given Input numbers are 420, 978, 984, 359

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 978 :

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

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (420, 978, 984, 359) = 1.

Given numbers are 420, 978, 984, 359

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 978 are 2 x 3 x 163

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 359 are 359

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 420, 978, 984, 359

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

Apply this formula for all numbers.

Step1:

LCM(420, 978) = 68460

GCD(420, 978) = ( 420 x 978 ) / 68460

= 420 / 978

= 420

Step2:

LCM(6, 984) = 984

GCD(6, 984) = ( 6 x 984 ) / 984

= 6 / 984

= 6

Step3:

LCM(6, 359) = 2154

GCD(6, 359) = ( 6 x 359 ) / 2154

= 6 / 359

= 6

So, Greatest Common Divisor of 420, 978, 984, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 566, 221, 927
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Given numbers are 420, 978, 984, 359
The greatest common divisor of numbers 420, 978, 984, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 978, 984, 359 is 1.

1. What is the GCD of 420, 978, 984, 359?

GCD of given numbers 420, 978, 984, 359 is 1

2. How to calculate the greatest common divisor of 420, 978, 984, 359?

We can find the highest common divisor of 420, 978, 984, 359 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, 978, 984, 359 i.e 1.

3. How can I use the GCD of 420, 978, 984, 359Calculator?

Out the numbers 420, 978, 984, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.