GCD of 204, 340, 352, 780 Calculator

Given Input numbers are 204, 340, 352, 780

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

GCD of numbers is the greatest common divisor

So, the GCD (204, 340, 352, 780) = 4.

Given numbers are 204, 340, 352, 780

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

The highest common occurrence is 2²

Therefore, GCD of 204, 340, 352, 780 is 4.

Given numbers are 204, 340, 352, 780

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

Apply this formula for all numbers.

Step1:

LCM(204, 340) = 1020

GCD(204, 340) = ( 204 x 340 ) / 1020

= 204 / 340

= 204

Step2:

LCM(68, 352) = 5984

GCD(68, 352) = ( 68 x 352 ) / 5984

= 68 / 352

= 68

Step3:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

So, Greatest Common Divisor of 204, 340, 352, 780 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 709, 257, 741
• GCD of 323, 355, 220, 877
• GCD of 518, 888, 805, 760
• GCD of 623, 118, 502, 502
• GCD of 974, 832, 587, 401

Given numbers are 204, 340, 352, 780
The greatest common divisor of numbers 204, 340, 352, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 340, 352, 780 is 4.

1. What is the GCD of 204, 340, 352, 780?

GCD of given numbers 204, 340, 352, 780 is 4

2. How to calculate the greatest common divisor of 204, 340, 352, 780?

We can find the highest common divisor of 204, 340, 352, 780 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 204, 340, 352, 780 i.e 4.

3. How can I use the GCD of 204, 340, 352, 780Calculator?

Out the numbers 204, 340, 352, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.