GCD of 217, 696, 735, 342 Calculator

Given Input numbers are 217, 696, 735, 342

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (217, 696, 735, 342) = 1.

Given numbers are 217, 696, 735, 342

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 217, 696, 735, 342

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

Apply this formula for all numbers.

Step1:

LCM(217, 696) = 151032

GCD(217, 696) = ( 217 x 696 ) / 151032

= 217 / 696

= 217

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 217, 696, 735, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 239, 346, 677
• GCD of 747, 709, 518, 540
• GCD of 293, 306, 441, 751
• GCD of 567, 665, 368, 160
• GCD of 745, 549, 493, 697

Given numbers are 217, 696, 735, 342
The greatest common divisor of numbers 217, 696, 735, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 696, 735, 342 is 1.

1. What is the GCD of 217, 696, 735, 342?

GCD of given numbers 217, 696, 735, 342 is 1

2. How to calculate the greatest common divisor of 217, 696, 735, 342?

We can find the highest common divisor of 217, 696, 735, 342 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 217, 696, 735, 342 i.e 1.

3. How can I use the GCD of 217, 696, 735, 342Calculator?

Out the numbers 217, 696, 735, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.