GCD of 917, 516, 697, 738 Calculator

Given Input numbers are 917, 516, 697, 738

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (917, 516, 697, 738) = 1.

Given numbers are 917, 516, 697, 738

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 697 are 17 x 41

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 917, 516, 697, 738

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

Apply this formula for all numbers.

Step1:

LCM(917, 516) = 473172

GCD(917, 516) = ( 917 x 516 ) / 473172

= 917 / 516

= 917

Step2:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 917, 516, 697, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 697, 768, 406
• GCD of 362, 149, 684, 589
• GCD of 694, 640, 958, 907
• GCD of 353, 503, 224, 218
• GCD of 641, 318, 634, 912

Given numbers are 917, 516, 697, 738
The greatest common divisor of numbers 917, 516, 697, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 516, 697, 738 is 1.

1. What is the GCD of 917, 516, 697, 738?

GCD of given numbers 917, 516, 697, 738 is 1

2. How to calculate the greatest common divisor of 917, 516, 697, 738?

We can find the highest common divisor of 917, 516, 697, 738 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 917, 516, 697, 738 i.e 1.

3. How can I use the GCD of 917, 516, 697, 738Calculator?

Out the numbers 917, 516, 697, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.