GCD of 780, 172, 678, 338 Calculator

Given Input numbers are 780, 172, 678, 338

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

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (780, 172, 678, 338) = 2.

Given numbers are 780, 172, 678, 338

The list of prime factors of all numbers are

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 678 are 2 x 3 x 113

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 780, 172, 678, 338 is 2.

Given numbers are 780, 172, 678, 338

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

Apply this formula for all numbers.

Step1:

LCM(780, 172) = 33540

GCD(780, 172) = ( 780 x 172 ) / 33540

= 780 / 172

= 780

Step2:

LCM(4, 678) = 1356

GCD(4, 678) = ( 4 x 678 ) / 1356

= 4 / 678

= 4

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 780, 172, 678, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 166, 376, 134
• GCD of 909, 396, 270, 268
• GCD of 542, 914, 715, 689
• GCD of 800, 128, 889, 701
• GCD of 436, 459, 859, 321

Given numbers are 780, 172, 678, 338
The greatest common divisor of numbers 780, 172, 678, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 172, 678, 338 is 2.

1. What is the GCD of 780, 172, 678, 338?

GCD of given numbers 780, 172, 678, 338 is 2

2. How to calculate the greatest common divisor of 780, 172, 678, 338?

We can find the highest common divisor of 780, 172, 678, 338 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 780, 172, 678, 338 i.e 2.

3. How can I use the GCD of 780, 172, 678, 338Calculator?

Out the numbers 780, 172, 678, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.