GCD of 108, 309, 770, 401 Calculator

Given Input numbers are 108, 309, 770, 401

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

GCD of numbers is the greatest common divisor

So, the GCD (108, 309, 770, 401) = 1.

Given numbers are 108, 309, 770, 401

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 309 are 3 x 103

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 401 are 401

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

Given numbers are 108, 309, 770, 401

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

Apply this formula for all numbers.

Step1:

LCM(108, 309) = 11124

GCD(108, 309) = ( 108 x 309 ) / 11124

= 108 / 309

= 108

Step2:

LCM(3, 770) = 2310

GCD(3, 770) = ( 3 x 770 ) / 2310

= 3 / 770

= 3

Step3:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1

So, Greatest Common Divisor of 108, 309, 770, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 506, 392, 599
• GCD of 207, 562, 256, 956
• GCD of 385, 139, 493, 808
• GCD of 105, 697, 496, 804
• GCD of 653, 558, 418, 111

Given numbers are 108, 309, 770, 401
The greatest common divisor of numbers 108, 309, 770, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 309, 770, 401 is 1.

1. What is the GCD of 108, 309, 770, 401?

GCD of given numbers 108, 309, 770, 401 is 1

2. How to calculate the greatest common divisor of 108, 309, 770, 401?

We can find the highest common divisor of 108, 309, 770, 401 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 108, 309, 770, 401 i.e 1.

3. How can I use the GCD of 108, 309, 770, 401Calculator?

Out the numbers 108, 309, 770, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.