GCD of 420, 159, 524, 857 Calculator

Given Input numbers are 420, 159, 524, 857

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

GCD of numbers is the greatest common divisor

So, the GCD (420, 159, 524, 857) = 1.

Given numbers are 420, 159, 524, 857

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 159 are 3 x 53

Prime factors of 524 are 2 x 2 x 131

Prime factors of 857 are 857

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

Given numbers are 420, 159, 524, 857

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

Apply this formula for all numbers.

Step1:

LCM(420, 159) = 22260

GCD(420, 159) = ( 420 x 159 ) / 22260

= 420 / 159

= 420

Step2:

LCM(3, 524) = 1572

GCD(3, 524) = ( 3 x 524 ) / 1572

= 3 / 524

= 3

Step3:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1

So, Greatest Common Divisor of 420, 159, 524, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 538, 149, 951
• GCD of 600, 531, 958, 100
• GCD of 117, 322, 172, 377
• GCD of 473, 218, 893, 769
• GCD of 359, 992, 719, 926

Given numbers are 420, 159, 524, 857
The greatest common divisor of numbers 420, 159, 524, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 159, 524, 857 is 1.

1. What is the GCD of 420, 159, 524, 857?

GCD of given numbers 420, 159, 524, 857 is 1

2. How to calculate the greatest common divisor of 420, 159, 524, 857?

We can find the highest common divisor of 420, 159, 524, 857 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, 159, 524, 857 i.e 1.

3. How can I use the GCD of 420, 159, 524, 857Calculator?

Out the numbers 420, 159, 524, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.