GCD of 561, 737, 792, 918 Calculator

Given Input numbers are 561, 737, 792, 918

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (561, 737, 792, 918) = 1.

Given numbers are 561, 737, 792, 918

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 737 are 11 x 67

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 561, 737, 792, 918

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

Apply this formula for all numbers.

Step1:

LCM(561, 737) = 37587

GCD(561, 737) = ( 561 x 737 ) / 37587

= 561 / 737

= 561

Step2:

LCM(11, 792) = 792

GCD(11, 792) = ( 11 x 792 ) / 792

= 11 / 792

= 11

Step3:

LCM(11, 918) = 10098

GCD(11, 918) = ( 11 x 918 ) / 10098

= 11 / 918

= 11

So, Greatest Common Divisor of 561, 737, 792, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 862, 813, 114
• GCD of 437, 113, 862, 345
• GCD of 637, 938, 869, 184
• GCD of 349, 659, 827, 515
• GCD of 808, 957, 597, 100

Given numbers are 561, 737, 792, 918
The greatest common divisor of numbers 561, 737, 792, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 737, 792, 918 is 1.

1. What is the GCD of 561, 737, 792, 918?

GCD of given numbers 561, 737, 792, 918 is 1

2. How to calculate the greatest common divisor of 561, 737, 792, 918?

We can find the highest common divisor of 561, 737, 792, 918 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 561, 737, 792, 918 i.e 1.

3. How can I use the GCD of 561, 737, 792, 918Calculator?

Out the numbers 561, 737, 792, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.