GCD of 905, 870, 420 Calculator

Given Input numbers are 905, 870, 420

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

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 (905, 870, 420) = 5.

Given numbers are 905, 870, 420

The list of prime factors of all numbers are

Prime factors of 905 are 5 x 181

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 905, 870, 420 is 5.

Given numbers are 905, 870, 420

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

Apply this formula for all numbers.

Step1:

LCM(905, 870) = 157470

GCD(905, 870) = ( 905 x 870 ) / 157470

= 905 / 870

= 905

Step2:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

So, Greatest Common Divisor of 905, 870, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 336, 578
• GCD of 959, 371, 189
• GCD of 638, 246, 934
• GCD of 463, 336, 261
• GCD of 356, 253, 599

Given numbers are 905, 870, 420
The greatest common divisor of numbers 905, 870, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 870, 420 is 5.

1. What is the GCD of 905, 870, 420?

GCD of given numbers 905, 870, 420 is 5

2. How to calculate the greatest common divisor of 905, 870, 420?

We can find the highest common divisor of 905, 870, 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 905, 870, 420 i.e 5.

3. How can I use the GCD of 905, 870, 420Calculator?

Out the numbers 905, 870, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.