GCD of 345, 780, 164, 577 Calculator

Given Input numbers are 345, 780, 164, 577

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (345, 780, 164, 577) = 1.

Given numbers are 345, 780, 164, 577

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 164 are 2 x 2 x 41

Prime factors of 577 are 577

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

Given numbers are 345, 780, 164, 577

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

Apply this formula for all numbers.

Step1:

LCM(345, 780) = 17940

GCD(345, 780) = ( 345 x 780 ) / 17940

= 345 / 780

= 345

Step2:

LCM(15, 164) = 2460

GCD(15, 164) = ( 15 x 164 ) / 2460

= 15 / 164

= 15

Step3:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1

So, Greatest Common Divisor of 345, 780, 164, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 181, 480, 802
• GCD of 686, 779, 572, 603
• GCD of 929, 120, 744, 884
• GCD of 327, 619, 976, 723
• GCD of 535, 287, 312, 374

Given numbers are 345, 780, 164, 577
The greatest common divisor of numbers 345, 780, 164, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 780, 164, 577 is 1.

1. What is the GCD of 345, 780, 164, 577?

GCD of given numbers 345, 780, 164, 577 is 1

2. How to calculate the greatest common divisor of 345, 780, 164, 577?

We can find the highest common divisor of 345, 780, 164, 577 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 345, 780, 164, 577 i.e 1.

3. How can I use the GCD of 345, 780, 164, 577Calculator?

Out the numbers 345, 780, 164, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.