GCD of 309, 780, 769, 125 Calculator

Given Input numbers are 309, 780, 769, 125

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

GCD of numbers is the greatest common divisor

So, the GCD (309, 780, 769, 125) = 1.

Given numbers are 309, 780, 769, 125

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

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

Prime factors of 769 are 769

Prime factors of 125 are 5 x 5 x 5

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

Given numbers are 309, 780, 769, 125

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

Apply this formula for all numbers.

Step1:

LCM(309, 780) = 80340

GCD(309, 780) = ( 309 x 780 ) / 80340

= 309 / 780

= 309

Step2:

LCM(3, 769) = 2307

GCD(3, 769) = ( 3 x 769 ) / 2307

= 3 / 769

= 3

Step3:

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

= 1 / 125

= 1

So, Greatest Common Divisor of 309, 780, 769, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 199, 735, 681
• GCD of 954, 644, 856, 265
• GCD of 244, 624, 272, 487
• GCD of 123, 130, 512, 701
• GCD of 881, 284, 374, 523

Given numbers are 309, 780, 769, 125
The greatest common divisor of numbers 309, 780, 769, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 780, 769, 125 is 1.

1. What is the GCD of 309, 780, 769, 125?

GCD of given numbers 309, 780, 769, 125 is 1

2. How to calculate the greatest common divisor of 309, 780, 769, 125?

We can find the highest common divisor of 309, 780, 769, 125 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 309, 780, 769, 125 i.e 1.

3. How can I use the GCD of 309, 780, 769, 125Calculator?

Out the numbers 309, 780, 769, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.