GCD of 420, 446, 488, 953 Calculator

Given Input numbers are 420, 446, 488, 953

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 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (420, 446, 488, 953) = 1.

Given numbers are 420, 446, 488, 953

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 446 are 2 x 223

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 953 are 953

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

Given numbers are 420, 446, 488, 953

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

Apply this formula for all numbers.

Step1:

LCM(420, 446) = 93660

GCD(420, 446) = ( 420 x 446 ) / 93660

= 420 / 446

= 420

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

= 2 / 953

= 2

So, Greatest Common Divisor of 420, 446, 488, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 995, 116, 660
• GCD of 571, 797, 679, 222
• GCD of 188, 501, 126, 101
• GCD of 436, 119, 507, 113
• GCD of 334, 655, 671, 720

Given numbers are 420, 446, 488, 953
The greatest common divisor of numbers 420, 446, 488, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 446, 488, 953 is 1.

1. What is the GCD of 420, 446, 488, 953?

GCD of given numbers 420, 446, 488, 953 is 1

2. How to calculate the greatest common divisor of 420, 446, 488, 953?

We can find the highest common divisor of 420, 446, 488, 953 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, 446, 488, 953 i.e 1.

3. How can I use the GCD of 420, 446, 488, 953Calculator?

Out the numbers 420, 446, 488, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.