GCD of 100, 865, 693, 916 Calculator

Given Input numbers are 100, 865, 693, 916

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (100, 865, 693, 916) = 1.

Given numbers are 100, 865, 693, 916

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 865 are 5 x 173

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 100, 865, 693, 916

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

Apply this formula for all numbers.

Step1:

LCM(100, 865) = 17300

GCD(100, 865) = ( 100 x 865 ) / 17300

= 100 / 865

= 100

Step2:

LCM(5, 693) = 3465

GCD(5, 693) = ( 5 x 693 ) / 3465

= 5 / 693

= 5

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 100, 865, 693, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 909, 410, 204
• GCD of 556, 570, 957, 951
• GCD of 115, 327, 803, 800
• GCD of 433, 554, 957, 634
• GCD of 637, 671, 173, 596

Given numbers are 100, 865, 693, 916
The greatest common divisor of numbers 100, 865, 693, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 865, 693, 916 is 1.

1. What is the GCD of 100, 865, 693, 916?

GCD of given numbers 100, 865, 693, 916 is 1

2. How to calculate the greatest common divisor of 100, 865, 693, 916?

We can find the highest common divisor of 100, 865, 693, 916 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 100, 865, 693, 916 i.e 1.

3. How can I use the GCD of 100, 865, 693, 916Calculator?

Out the numbers 100, 865, 693, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.