GCD of 609, 742, 564, 782 Calculator

Given Input numbers are 609, 742, 564, 782

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 742 :

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

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (609, 742, 564, 782) = 1.

Given numbers are 609, 742, 564, 782

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 742 are 2 x 7 x 53

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 782 are 2 x 17 x 23

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

Given numbers are 609, 742, 564, 782

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

Apply this formula for all numbers.

Step1:

LCM(609, 742) = 64554

GCD(609, 742) = ( 609 x 742 ) / 64554

= 609 / 742

= 609

Step2:

LCM(7, 564) = 3948

GCD(7, 564) = ( 7 x 564 ) / 3948

= 7 / 564

= 7

Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

So, Greatest Common Divisor of 609, 742, 564, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 998, 147, 960
• GCD of 351, 940, 460, 138
• GCD of 918, 569, 231, 776
• GCD of 196, 520, 739, 533
• GCD of 902, 182, 578, 960

Given numbers are 609, 742, 564, 782
The greatest common divisor of numbers 609, 742, 564, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 742, 564, 782 is 1.

1. What is the GCD of 609, 742, 564, 782?

GCD of given numbers 609, 742, 564, 782 is 1

2. How to calculate the greatest common divisor of 609, 742, 564, 782?

We can find the highest common divisor of 609, 742, 564, 782 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 609, 742, 564, 782 i.e 1.

3. How can I use the GCD of 609, 742, 564, 782Calculator?

Out the numbers 609, 742, 564, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.