GCD of 690, 725, 780, 359 Calculator

Given Input numbers are 690, 725, 780, 359

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (690, 725, 780, 359) = 1.

Given numbers are 690, 725, 780, 359

The list of prime factors of all numbers are

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

Prime factors of 725 are 5 x 5 x 29

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 359 are 359

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

Given numbers are 690, 725, 780, 359

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

Apply this formula for all numbers.

Step1:

LCM(690, 725) = 100050

GCD(690, 725) = ( 690 x 725 ) / 100050

= 690 / 725

= 690

Step2:

LCM(5, 780) = 780

GCD(5, 780) = ( 5 x 780 ) / 780

= 5 / 780

= 5

Step3:

LCM(5, 359) = 1795

GCD(5, 359) = ( 5 x 359 ) / 1795

= 5 / 359

= 5

So, Greatest Common Divisor of 690, 725, 780, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 531, 985, 176
• GCD of 948, 364, 288, 386
• GCD of 249, 342, 912, 146
• GCD of 347, 357, 722, 315
• GCD of 422, 759, 719, 622

Given numbers are 690, 725, 780, 359
The greatest common divisor of numbers 690, 725, 780, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 725, 780, 359 is 1.

1. What is the GCD of 690, 725, 780, 359?

GCD of given numbers 690, 725, 780, 359 is 1

2. How to calculate the greatest common divisor of 690, 725, 780, 359?

We can find the highest common divisor of 690, 725, 780, 359 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, 725, 780, 359 i.e 1.

3. How can I use the GCD of 690, 725, 780, 359Calculator?

Out the numbers 690, 725, 780, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.