GCD of 420, 258, 530, 658 Calculator

Given Input numbers are 420, 258, 530, 658

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 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (420, 258, 530, 658) = 2.

Given numbers are 420, 258, 530, 658

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 258 are 2 x 3 x 43

Prime factors of 530 are 2 x 5 x 53

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 420, 258, 530, 658 is 2.

Given numbers are 420, 258, 530, 658

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

Apply this formula for all numbers.

Step1:

LCM(420, 258) = 18060

GCD(420, 258) = ( 420 x 258 ) / 18060

= 420 / 258

= 420

Step2:

LCM(6, 530) = 1590

GCD(6, 530) = ( 6 x 530 ) / 1590

= 6 / 530

= 6

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 420, 258, 530, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 493, 865, 819
• GCD of 370, 202, 688, 839
• GCD of 437, 869, 773, 689
• GCD of 744, 971, 471, 902
• GCD of 651, 776, 907, 164

Given numbers are 420, 258, 530, 658
The greatest common divisor of numbers 420, 258, 530, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 258, 530, 658 is 2.

1. What is the GCD of 420, 258, 530, 658?

GCD of given numbers 420, 258, 530, 658 is 2

2. How to calculate the greatest common divisor of 420, 258, 530, 658?

We can find the highest common divisor of 420, 258, 530, 658 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, 258, 530, 658 i.e 2.

3. How can I use the GCD of 420, 258, 530, 658Calculator?

Out the numbers 420, 258, 530, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.