GCD of 690, 378, 659, 342 Calculator

Given Input numbers are 690, 378, 659, 342

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

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 (690, 378, 659, 342) = 1.

Given numbers are 690, 378, 659, 342

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 659 are 659

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 690, 378, 659, 342

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

Apply this formula for all numbers.

Step1:

LCM(690, 378) = 43470

GCD(690, 378) = ( 690 x 378 ) / 43470

= 690 / 378

= 690

Step2:

LCM(6, 659) = 3954

GCD(6, 659) = ( 6 x 659 ) / 3954

= 6 / 659

= 6

Step3:

LCM(1, 342) = 342

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

= 1 / 342

= 1

So, Greatest Common Divisor of 690, 378, 659, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 517, 142, 337
• GCD of 511, 435, 620, 284
• GCD of 423, 640, 791, 949
• GCD of 931, 454, 642, 263
• GCD of 882, 268, 879, 410

Given numbers are 690, 378, 659, 342
The greatest common divisor of numbers 690, 378, 659, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 378, 659, 342 is 1.

1. What is the GCD of 690, 378, 659, 342?

GCD of given numbers 690, 378, 659, 342 is 1

2. How to calculate the greatest common divisor of 690, 378, 659, 342?

We can find the highest common divisor of 690, 378, 659, 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 690, 378, 659, 342 i.e 1.

3. How can I use the GCD of 690, 378, 659, 342Calculator?

Out the numbers 690, 378, 659, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.