GCD of 530, 440, 742, 414 Calculator

Given Input numbers are 530, 440, 742, 414

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 (530, 440, 742, 414) = 2.

Given numbers are 530, 440, 742, 414

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 742 are 2 x 7 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 530, 440, 742, 414 is 2.

Given numbers are 530, 440, 742, 414

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

Apply this formula for all numbers.

Step1:

LCM(530, 440) = 23320

GCD(530, 440) = ( 530 x 440 ) / 23320

= 530 / 440

= 530

Step2:

LCM(10, 742) = 3710

GCD(10, 742) = ( 10 x 742 ) / 3710

= 10 / 742

= 10

Step3:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

So, Greatest Common Divisor of 530, 440, 742, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 801, 792, 459
• GCD of 996, 999, 447, 858
• GCD of 978, 262, 312, 166
• GCD of 954, 172, 894, 206
• GCD of 123, 405, 158, 478

Given numbers are 530, 440, 742, 414
The greatest common divisor of numbers 530, 440, 742, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 440, 742, 414 is 2.

1. What is the GCD of 530, 440, 742, 414?

GCD of given numbers 530, 440, 742, 414 is 2

2. How to calculate the greatest common divisor of 530, 440, 742, 414?

We can find the highest common divisor of 530, 440, 742, 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 530, 440, 742, 414 i.e 2.

3. How can I use the GCD of 530, 440, 742, 414Calculator?

Out the numbers 530, 440, 742, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.