GCD of 420, 616, 360, 224 Calculator

Given Input numbers are 420, 616, 360, 224

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 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (420, 616, 360, 224) = 4.

Given numbers are 420, 616, 360, 224

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 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2²

Therefore, GCD of 420, 616, 360, 224 is 4.

Given numbers are 420, 616, 360, 224

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

Apply this formula for all numbers.

Step1:

LCM(420, 616) = 9240

GCD(420, 616) = ( 420 x 616 ) / 9240

= 420 / 616

= 420

Step2:

LCM(28, 360) = 2520

GCD(28, 360) = ( 28 x 360 ) / 2520

= 28 / 360

= 28

Step3:

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

= 4 / 224

= 4

So, Greatest Common Divisor of 420, 616, 360, 224 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 478, 640, 270
• GCD of 965, 733, 220, 499
• GCD of 421, 217, 447, 247
• GCD of 913, 908, 749, 773
• GCD of 377, 552, 455, 110

Given numbers are 420, 616, 360, 224
The greatest common divisor of numbers 420, 616, 360, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 616, 360, 224 is 4.

1. What is the GCD of 420, 616, 360, 224?

GCD of given numbers 420, 616, 360, 224 is 4

2. How to calculate the greatest common divisor of 420, 616, 360, 224?

We can find the highest common divisor of 420, 616, 360, 224 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, 616, 360, 224 i.e 4.

3. How can I use the GCD of 420, 616, 360, 224Calculator?

Out the numbers 420, 616, 360, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.