GCD of 530, 128, 420, 224 Calculator

Given Input numbers are 530, 128, 420, 224

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

Divisors of 530 :

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

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

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 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 (530, 128, 420, 224) = 2.

Given numbers are 530, 128, 420, 224

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

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

The highest common occurrence is 2¹

Therefore, GCD of 530, 128, 420, 224 is 2.

Given numbers are 530, 128, 420, 224

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

Apply this formula for all numbers.

Step1:

LCM(530, 128) = 33920

GCD(530, 128) = ( 530 x 128 ) / 33920

= 530 / 128

= 530

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 530, 128, 420, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 673, 533, 591
• GCD of 543, 392, 318, 986
• GCD of 257, 544, 700, 968
• GCD of 828, 492, 912, 672
• GCD of 738, 657, 772, 921

Given numbers are 530, 128, 420, 224
The greatest common divisor of numbers 530, 128, 420, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 128, 420, 224 is 2.

1. What is the GCD of 530, 128, 420, 224?

GCD of given numbers 530, 128, 420, 224 is 2

2. How to calculate the greatest common divisor of 530, 128, 420, 224?

We can find the highest common divisor of 530, 128, 420, 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 530, 128, 420, 224 i.e 2.

3. How can I use the GCD of 530, 128, 420, 224Calculator?

Out the numbers 530, 128, 420, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.