GCD of 717, 561, 702, 213 Calculator

Given Input numbers are 717, 561, 702, 213

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

Divisors of 717 :

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

1, 3, 239, 717

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (717, 561, 702, 213) = 3.

Given numbers are 717, 561, 702, 213

The list of prime factors of all numbers are

Prime factors of 717 are 3 x 239

Prime factors of 561 are 3 x 11 x 17

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

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 717, 561, 702, 213 is 3.

Given numbers are 717, 561, 702, 213

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

Apply this formula for all numbers.

Step1:

LCM(717, 561) = 134079

GCD(717, 561) = ( 717 x 561 ) / 134079

= 717 / 561

= 717

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 717, 561, 702, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 724, 630, 683
• GCD of 573, 218, 542, 542
• GCD of 476, 596, 271, 476
• GCD of 893, 687, 260, 333
• GCD of 593, 563, 369, 573

Given numbers are 717, 561, 702, 213
The greatest common divisor of numbers 717, 561, 702, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 717, 561, 702, 213 is 3.

1. What is the GCD of 717, 561, 702, 213?

GCD of given numbers 717, 561, 702, 213 is 3

2. How to calculate the greatest common divisor of 717, 561, 702, 213?

We can find the highest common divisor of 717, 561, 702, 213 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 717, 561, 702, 213 i.e 3.

3. How can I use the GCD of 717, 561, 702, 213Calculator?

Out the numbers 717, 561, 702, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.