GCD of 530, 372, 460, 560 Calculator

Given Input numbers are 530, 372, 460, 560

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (530, 372, 460, 560) = 2.

Given numbers are 530, 372, 460, 560

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 530, 372, 460, 560 is 2.

Given numbers are 530, 372, 460, 560

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

Apply this formula for all numbers.

Step1:

LCM(530, 372) = 98580

GCD(530, 372) = ( 530 x 372 ) / 98580

= 530 / 372

= 530

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

So, Greatest Common Divisor of 530, 372, 460, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 939, 926, 600
• GCD of 394, 507, 235, 540
• GCD of 563, 753, 563, 410
• GCD of 985, 902, 832, 237
• GCD of 898, 582, 108, 168

Given numbers are 530, 372, 460, 560
The greatest common divisor of numbers 530, 372, 460, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 372, 460, 560 is 2.

1. What is the GCD of 530, 372, 460, 560?

GCD of given numbers 530, 372, 460, 560 is 2

2. How to calculate the greatest common divisor of 530, 372, 460, 560?

We can find the highest common divisor of 530, 372, 460, 560 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, 372, 460, 560 i.e 2.

3. How can I use the GCD of 530, 372, 460, 560Calculator?

Out the numbers 530, 372, 460, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.