GCD of 702, 872, 849, 717 Calculator

Given Input numbers are 702, 872, 849, 717

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (702, 872, 849, 717) = 1.

Given numbers are 702, 872, 849, 717

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 849 are 3 x 283

Prime factors of 717 are 3 x 239

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

Given numbers are 702, 872, 849, 717

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

Apply this formula for all numbers.

Step1:

LCM(702, 872) = 306072

GCD(702, 872) = ( 702 x 872 ) / 306072

= 702 / 872

= 702

Step2:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

Step3:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1

So, Greatest Common Divisor of 702, 872, 849, 717 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 356, 389, 523
• GCD of 257, 494, 127, 218
• GCD of 108, 396, 837, 323
• GCD of 574, 393, 873, 353
• GCD of 534, 606, 288, 589

Given numbers are 702, 872, 849, 717
The greatest common divisor of numbers 702, 872, 849, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 872, 849, 717 is 1.

1. What is the GCD of 702, 872, 849, 717?

GCD of given numbers 702, 872, 849, 717 is 1

2. How to calculate the greatest common divisor of 702, 872, 849, 717?

We can find the highest common divisor of 702, 872, 849, 717 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 702, 872, 849, 717 i.e 1.

3. How can I use the GCD of 702, 872, 849, 717Calculator?

Out the numbers 702, 872, 849, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.