GCD of 965, 289, 500, 693 Calculator

Given Input numbers are 965, 289, 500, 693

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

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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

GCD of numbers is the greatest common divisor

So, the GCD (965, 289, 500, 693) = 1.

Given numbers are 965, 289, 500, 693

The list of prime factors of all numbers are

Prime factors of 965 are 5 x 193

Prime factors of 289 are 17 x 17

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

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

Given numbers are 965, 289, 500, 693

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

Apply this formula for all numbers.

Step1:

LCM(965, 289) = 278885

GCD(965, 289) = ( 965 x 289 ) / 278885

= 965 / 289

= 965

Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

Step3:

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

= 1 / 693

= 1

So, Greatest Common Divisor of 965, 289, 500, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 135, 398, 854
• GCD of 380, 753, 154, 618
• GCD of 238, 411, 653, 787
• GCD of 875, 964, 631, 741
• GCD of 421, 217, 893, 208

Given numbers are 965, 289, 500, 693
The greatest common divisor of numbers 965, 289, 500, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 289, 500, 693 is 1.

1. What is the GCD of 965, 289, 500, 693?

GCD of given numbers 965, 289, 500, 693 is 1

2. How to calculate the greatest common divisor of 965, 289, 500, 693?

We can find the highest common divisor of 965, 289, 500, 693 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 965, 289, 500, 693 i.e 1.

3. How can I use the GCD of 965, 289, 500, 693Calculator?

Out the numbers 965, 289, 500, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.