GCD of 209, 530, 460, 742 Calculator

Given Input numbers are 209, 530, 460, 742

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 530 :

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

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

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 742 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (209, 530, 460, 742) = 1.

Given numbers are 209, 530, 460, 742

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 530 are 2 x 5 x 53

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

Prime factors of 742 are 2 x 7 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 209, 530, 460, 742

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

Apply this formula for all numbers.

Step1:

LCM(209, 530) = 110770

GCD(209, 530) = ( 209 x 530 ) / 110770

= 209 / 530

= 209

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 209, 530, 460, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 238, 844, 879
• GCD of 428, 546, 613, 621
• GCD of 243, 907, 749, 648
• GCD of 483, 225, 328, 450
• GCD of 394, 875, 741, 126

Given numbers are 209, 530, 460, 742
The greatest common divisor of numbers 209, 530, 460, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 530, 460, 742 is 1.

1. What is the GCD of 209, 530, 460, 742?

GCD of given numbers 209, 530, 460, 742 is 1

2. How to calculate the greatest common divisor of 209, 530, 460, 742?

We can find the highest common divisor of 209, 530, 460, 742 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 209, 530, 460, 742 i.e 1.

3. How can I use the GCD of 209, 530, 460, 742Calculator?

Out the numbers 209, 530, 460, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.