GCD of 205, 678, 35, 180 Calculator

Given Input numbers are 205, 678, 35, 180

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 678 :

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

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

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (205, 678, 35, 180) = 1.

Given numbers are 205, 678, 35, 180

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 678 are 2 x 3 x 113

Prime factors of 35 are 5 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 205, 678, 35, 180

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

Apply this formula for all numbers.

Step1:

LCM(205, 678) = 138990

GCD(205, 678) = ( 205 x 678 ) / 138990

= 205 / 678

= 205

Step2:

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

= 1 / 35

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 205, 678, 35, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 471, 41, 685
• GCD of 908, 770, 67, 646
• GCD of 696, 115, 77, 464
• GCD of 612, 877, 22, 251
• GCD of 500, 613, 47, 285

Given numbers are 205, 678, 35, 180
The greatest common divisor of numbers 205, 678, 35, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 678, 35, 180 is 1.

1. What is the GCD of 205, 678, 35, 180?

GCD of given numbers 205, 678, 35, 180 is 1

2. How to calculate the greatest common divisor of 205, 678, 35, 180?

We can find the highest common divisor of 205, 678, 35, 180 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 205, 678, 35, 180 i.e 1.

3. How can I use the GCD of 205, 678, 35, 180Calculator?

Out the numbers 205, 678, 35, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.