GCD of 690, 729, 147, 349 Calculator

Given Input numbers are 690, 729, 147, 349

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 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (690, 729, 147, 349) = 1.

Given numbers are 690, 729, 147, 349

The list of prime factors of all numbers are

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

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 147 are 3 x 7 x 7

Prime factors of 349 are 349

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

Given numbers are 690, 729, 147, 349

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

Apply this formula for all numbers.

Step1:

LCM(690, 729) = 167670

GCD(690, 729) = ( 690 x 729 ) / 167670

= 690 / 729

= 690

Step2:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

Step3:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3

So, Greatest Common Divisor of 690, 729, 147, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 699, 981, 680
• GCD of 743, 551, 331, 745
• GCD of 495, 328, 731, 120
• GCD of 497, 358, 330, 612
• GCD of 565, 281, 709, 230

Given numbers are 690, 729, 147, 349
The greatest common divisor of numbers 690, 729, 147, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 729, 147, 349 is 1.

1. What is the GCD of 690, 729, 147, 349?

GCD of given numbers 690, 729, 147, 349 is 1

2. How to calculate the greatest common divisor of 690, 729, 147, 349?

We can find the highest common divisor of 690, 729, 147, 349 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, 729, 147, 349 i.e 1.

3. How can I use the GCD of 690, 729, 147, 349Calculator?

Out the numbers 690, 729, 147, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.