GCD of 420, 760, 216, 997 Calculator

Given Input numbers are 420, 760, 216, 997

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (420, 760, 216, 997) = 1.

Given numbers are 420, 760, 216, 997

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 997 are 997

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

Given numbers are 420, 760, 216, 997

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

Apply this formula for all numbers.

Step1:

LCM(420, 760) = 15960

GCD(420, 760) = ( 420 x 760 ) / 15960

= 420 / 760

= 420

Step2:

LCM(20, 216) = 1080

GCD(20, 216) = ( 20 x 216 ) / 1080

= 20 / 216

= 20

Step3:

LCM(4, 997) = 3988

GCD(4, 997) = ( 4 x 997 ) / 3988

= 4 / 997

= 4

So, Greatest Common Divisor of 420, 760, 216, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 514, 631, 878
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Given numbers are 420, 760, 216, 997
The greatest common divisor of numbers 420, 760, 216, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 760, 216, 997 is 1.

1. What is the GCD of 420, 760, 216, 997?

GCD of given numbers 420, 760, 216, 997 is 1

2. How to calculate the greatest common divisor of 420, 760, 216, 997?

We can find the highest common divisor of 420, 760, 216, 997 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, 760, 216, 997 i.e 1.

3. How can I use the GCD of 420, 760, 216, 997Calculator?

Out the numbers 420, 760, 216, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.