GCD of 456, 888, 143, 420 Calculator

Given Input numbers are 456, 888, 143, 420

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

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 (456, 888, 143, 420) = 1.

Given numbers are 456, 888, 143, 420

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 143 are 11 x 13

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 456, 888, 143, 420

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

Apply this formula for all numbers.

Step1:

LCM(456, 888) = 16872

GCD(456, 888) = ( 456 x 888 ) / 16872

= 456 / 888

= 456

Step2:

LCM(24, 143) = 3432

GCD(24, 143) = ( 24 x 143 ) / 3432

= 24 / 143

= 24

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 456, 888, 143, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 820, 830, 655
• GCD of 751, 255, 955, 425
• GCD of 700, 519, 223, 949
• GCD of 638, 972, 576, 958
• GCD of 206, 811, 230, 456

Given numbers are 456, 888, 143, 420
The greatest common divisor of numbers 456, 888, 143, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 888, 143, 420 is 1.

1. What is the GCD of 456, 888, 143, 420?

GCD of given numbers 456, 888, 143, 420 is 1

2. How to calculate the greatest common divisor of 456, 888, 143, 420?

We can find the highest common divisor of 456, 888, 143, 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 456, 888, 143, 420 i.e 1.

3. How can I use the GCD of 456, 888, 143, 420Calculator?

Out the numbers 456, 888, 143, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.