GCD of 155, 420, 306, 680 Calculator

Given Input numbers are 155, 420, 306, 680

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

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (155, 420, 306, 680) = 1.

Given numbers are 155, 420, 306, 680

The list of prime factors of all numbers are

Prime factors of 155 are 5 x 31

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 155, 420, 306, 680

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

Apply this formula for all numbers.

Step1:

LCM(155, 420) = 13020

GCD(155, 420) = ( 155 x 420 ) / 13020

= 155 / 420

= 155

Step2:

LCM(5, 306) = 1530

GCD(5, 306) = ( 5 x 306 ) / 1530

= 5 / 306

= 5

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 155, 420, 306, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 318, 209, 672
• GCD of 698, 163, 602, 295
• GCD of 163, 301, 168, 745
• GCD of 287, 865, 735, 404
• GCD of 401, 289, 174, 245

Given numbers are 155, 420, 306, 680
The greatest common divisor of numbers 155, 420, 306, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 155, 420, 306, 680 is 1.

1. What is the GCD of 155, 420, 306, 680?

GCD of given numbers 155, 420, 306, 680 is 1

2. How to calculate the greatest common divisor of 155, 420, 306, 680?

We can find the highest common divisor of 155, 420, 306, 680 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 155, 420, 306, 680 i.e 1.

3. How can I use the GCD of 155, 420, 306, 680Calculator?

Out the numbers 155, 420, 306, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.