GCD of 214, 420, 362, 480 Calculator

Given Input numbers are 214, 420, 362, 480

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (214, 420, 362, 480) = 2.

Given numbers are 214, 420, 362, 480

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

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

Prime factors of 362 are 2 x 181

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 214, 420, 362, 480 is 2.

Given numbers are 214, 420, 362, 480

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

Apply this formula for all numbers.

Step1:

LCM(214, 420) = 44940

GCD(214, 420) = ( 214 x 420 ) / 44940

= 214 / 420

= 214

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 214, 420, 362, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 183, 639, 811
• GCD of 565, 699, 230, 372
• GCD of 735, 588, 998, 402
• GCD of 244, 651, 101, 252
• GCD of 217, 973, 554, 919

Given numbers are 214, 420, 362, 480
The greatest common divisor of numbers 214, 420, 362, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 420, 362, 480 is 2.

1. What is the GCD of 214, 420, 362, 480?

GCD of given numbers 214, 420, 362, 480 is 2

2. How to calculate the greatest common divisor of 214, 420, 362, 480?

We can find the highest common divisor of 214, 420, 362, 480 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 214, 420, 362, 480 i.e 2.

3. How can I use the GCD of 214, 420, 362, 480Calculator?

Out the numbers 214, 420, 362, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.