GCD of 420, 481, 205, 762 Calculator

Given Input numbers are 420, 481, 205, 762

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 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (420, 481, 205, 762) = 1.

Given numbers are 420, 481, 205, 762

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 481 are 13 x 37

Prime factors of 205 are 5 x 41

Prime factors of 762 are 2 x 3 x 127

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

Given numbers are 420, 481, 205, 762

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

Apply this formula for all numbers.

Step1:

LCM(420, 481) = 202020

GCD(420, 481) = ( 420 x 481 ) / 202020

= 420 / 481

= 420

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

= 1 / 762

= 1

So, Greatest Common Divisor of 420, 481, 205, 762 is 1

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Given numbers are 420, 481, 205, 762
The greatest common divisor of numbers 420, 481, 205, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 481, 205, 762 is 1.

1. What is the GCD of 420, 481, 205, 762?

GCD of given numbers 420, 481, 205, 762 is 1

2. How to calculate the greatest common divisor of 420, 481, 205, 762?

We can find the highest common divisor of 420, 481, 205, 762 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, 481, 205, 762 i.e 1.

3. How can I use the GCD of 420, 481, 205, 762Calculator?

Out the numbers 420, 481, 205, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.