GCD of 157, 823, 216, 420 Calculator

Given Input numbers are 157, 823, 216, 420

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

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

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 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 (157, 823, 216, 420) = 1.

Given numbers are 157, 823, 216, 420

The list of prime factors of all numbers are

Prime factors of 157 are 157

Prime factors of 823 are 823

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

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 157, 823, 216, 420

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

Apply this formula for all numbers.

Step1:

LCM(157, 823) = 129211

GCD(157, 823) = ( 157 x 823 ) / 129211

= 157 / 823

= 157

Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 157, 823, 216, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 316, 226, 429
• GCD of 615, 826, 977, 447
• GCD of 422, 566, 594, 138
• GCD of 687, 266, 609, 509
• GCD of 590, 603, 232, 316

Given numbers are 157, 823, 216, 420
The greatest common divisor of numbers 157, 823, 216, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 157, 823, 216, 420 is 1.

1. What is the GCD of 157, 823, 216, 420?

GCD of given numbers 157, 823, 216, 420 is 1

2. How to calculate the greatest common divisor of 157, 823, 216, 420?

We can find the highest common divisor of 157, 823, 216, 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 157, 823, 216, 420 i.e 1.

3. How can I use the GCD of 157, 823, 216, 420Calculator?

Out the numbers 157, 823, 216, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.