GCD of 916, 538, 629, 697 Calculator

Given Input numbers are 916, 538, 629, 697

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 697 :

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

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (916, 538, 629, 697) = 1.

Given numbers are 916, 538, 629, 697

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 538 are 2 x 269

Prime factors of 629 are 17 x 37

Prime factors of 697 are 17 x 41

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

Given numbers are 916, 538, 629, 697

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

Apply this formula for all numbers.

Step1:

LCM(916, 538) = 246404

GCD(916, 538) = ( 916 x 538 ) / 246404

= 916 / 538

= 916

Step2:

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

= 2 / 629

= 2

Step3:

LCM(1, 697) = 697

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

= 1 / 697

= 1

So, Greatest Common Divisor of 916, 538, 629, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 871, 180, 408
• GCD of 575, 528, 916, 900
• GCD of 962, 823, 994, 692
• GCD of 440, 585, 596, 915
• GCD of 381, 361, 918, 234

Given numbers are 916, 538, 629, 697
The greatest common divisor of numbers 916, 538, 629, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 538, 629, 697 is 1.

1. What is the GCD of 916, 538, 629, 697?

GCD of given numbers 916, 538, 629, 697 is 1

2. How to calculate the greatest common divisor of 916, 538, 629, 697?

We can find the highest common divisor of 916, 538, 629, 697 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 916, 538, 629, 697 i.e 1.

3. How can I use the GCD of 916, 538, 629, 697Calculator?

Out the numbers 916, 538, 629, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.