GCD of 420, 348, 510, 414 Calculator

Given Input numbers are 420, 348, 510, 414

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (420, 348, 510, 414) = 6.

Given numbers are 420, 348, 510, 414

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 348 are 2 x 2 x 3 x 29

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 420, 348, 510, 414 is 6.

Given numbers are 420, 348, 510, 414

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

Apply this formula for all numbers.

Step1:

LCM(420, 348) = 12180

GCD(420, 348) = ( 420 x 348 ) / 12180

= 420 / 348

= 420

Step2:

LCM(12, 510) = 1020

GCD(12, 510) = ( 12 x 510 ) / 1020

= 12 / 510

= 12

Step3:

LCM(6, 414) = 414

GCD(6, 414) = ( 6 x 414 ) / 414

= 6 / 414

= 6

So, Greatest Common Divisor of 420, 348, 510, 414 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 778, 912, 351
• GCD of 578, 573, 938, 364
• GCD of 900, 556, 352, 702
• GCD of 303, 943, 195, 533
• GCD of 837, 202, 901, 650

Given numbers are 420, 348, 510, 414
The greatest common divisor of numbers 420, 348, 510, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 348, 510, 414 is 6.

1. What is the GCD of 420, 348, 510, 414?

GCD of given numbers 420, 348, 510, 414 is 6

2. How to calculate the greatest common divisor of 420, 348, 510, 414?

We can find the highest common divisor of 420, 348, 510, 414 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, 348, 510, 414 i.e 6.

3. How can I use the GCD of 420, 348, 510, 414Calculator?

Out the numbers 420, 348, 510, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.