GCD of 616, 512, 742, 861 Calculator

Given Input numbers are 616, 512, 742, 861

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 742 :

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

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (616, 512, 742, 861) = 1.

Given numbers are 616, 512, 742, 861

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 742 are 2 x 7 x 53

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 616, 512, 742, 861

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

Apply this formula for all numbers.

Step1:

LCM(616, 512) = 39424

GCD(616, 512) = ( 616 x 512 ) / 39424

= 616 / 512

= 616

Step2:

LCM(8, 742) = 2968

GCD(8, 742) = ( 8 x 742 ) / 2968

= 8 / 742

= 8

Step3:

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

= 2 / 861

= 2

So, Greatest Common Divisor of 616, 512, 742, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 640, 270, 779
• GCD of 434, 589, 525, 620
• GCD of 562, 817, 295, 393
• GCD of 814, 552, 184, 835
• GCD of 687, 587, 829, 462

Given numbers are 616, 512, 742, 861
The greatest common divisor of numbers 616, 512, 742, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 512, 742, 861 is 1.

1. What is the GCD of 616, 512, 742, 861?

GCD of given numbers 616, 512, 742, 861 is 1

2. How to calculate the greatest common divisor of 616, 512, 742, 861?

We can find the highest common divisor of 616, 512, 742, 861 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 616, 512, 742, 861 i.e 1.

3. How can I use the GCD of 616, 512, 742, 861Calculator?

Out the numbers 616, 512, 742, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.