GCD of 109, 186, 356, 780 Calculator

Given Input numbers are 109, 186, 356, 780

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

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 (109, 186, 356, 780) = 1.

Given numbers are 109, 186, 356, 780

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 186 are 2 x 3 x 31

Prime factors of 356 are 2 x 2 x 89

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

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

Given numbers are 109, 186, 356, 780

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

Apply this formula for all numbers.

Step1:

LCM(109, 186) = 20274

GCD(109, 186) = ( 109 x 186 ) / 20274

= 109 / 186

= 109

Step2:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1

Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

So, Greatest Common Divisor of 109, 186, 356, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 273, 387, 401
• GCD of 612, 778, 184, 876
• GCD of 330, 181, 857, 454
• GCD of 394, 895, 650, 566
• GCD of 617, 348, 515, 382

Given numbers are 109, 186, 356, 780
The greatest common divisor of numbers 109, 186, 356, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 186, 356, 780 is 1.

1. What is the GCD of 109, 186, 356, 780?

GCD of given numbers 109, 186, 356, 780 is 1

2. How to calculate the greatest common divisor of 109, 186, 356, 780?

We can find the highest common divisor of 109, 186, 356, 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 109, 186, 356, 780 i.e 1.

3. How can I use the GCD of 109, 186, 356, 780Calculator?

Out the numbers 109, 186, 356, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.