GCD of 480, 527, 978, 420 Calculator

Given Input numbers are 480, 527, 978, 420

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 978 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (480, 527, 978, 420) = 1.

Given numbers are 480, 527, 978, 420

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 527 are 17 x 31

Prime factors of 978 are 2 x 3 x 163

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

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

Given numbers are 480, 527, 978, 420

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

Apply this formula for all numbers.

Step1:

LCM(480, 527) = 252960

GCD(480, 527) = ( 480 x 527 ) / 252960

= 480 / 527

= 480

Step2:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 480, 527, 978, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 852, 208, 729
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Given numbers are 480, 527, 978, 420
The greatest common divisor of numbers 480, 527, 978, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 527, 978, 420 is 1.

1. What is the GCD of 480, 527, 978, 420?

GCD of given numbers 480, 527, 978, 420 is 1

2. How to calculate the greatest common divisor of 480, 527, 978, 420?

We can find the highest common divisor of 480, 527, 978, 420 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 480, 527, 978, 420 i.e 1.

3. How can I use the GCD of 480, 527, 978, 420Calculator?

Out the numbers 480, 527, 978, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.