GCD of 420, 326, 514, 654 Calculator

Given Input numbers are 420, 326, 514, 654

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 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (420, 326, 514, 654) = 2.

Given numbers are 420, 326, 514, 654

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 326 are 2 x 163

Prime factors of 514 are 2 x 257

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 420, 326, 514, 654 is 2.

Given numbers are 420, 326, 514, 654

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

Apply this formula for all numbers.

Step1:

LCM(420, 326) = 68460

GCD(420, 326) = ( 420 x 326 ) / 68460

= 420 / 326

= 420

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 420, 326, 514, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 619, 676, 304
• GCD of 951, 383, 958, 712
• GCD of 764, 966, 132, 264
• GCD of 995, 954, 745, 322
• GCD of 735, 523, 899, 155

Given numbers are 420, 326, 514, 654
The greatest common divisor of numbers 420, 326, 514, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 326, 514, 654 is 2.

1. What is the GCD of 420, 326, 514, 654?

GCD of given numbers 420, 326, 514, 654 is 2

2. How to calculate the greatest common divisor of 420, 326, 514, 654?

We can find the highest common divisor of 420, 326, 514, 654 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, 326, 514, 654 i.e 2.

3. How can I use the GCD of 420, 326, 514, 654Calculator?

Out the numbers 420, 326, 514, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.