GCD of 920, 745, 461, 180 Calculator

Given Input numbers are 920, 745, 461, 180

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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 (920, 745, 461, 180) = 1.

Given numbers are 920, 745, 461, 180

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 745 are 5 x 149

Prime factors of 461 are 461

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 920, 745, 461, 180

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

Apply this formula for all numbers.

Step1:

LCM(920, 745) = 137080

GCD(920, 745) = ( 920 x 745 ) / 137080

= 920 / 745

= 920

Step2:

LCM(5, 461) = 2305

GCD(5, 461) = ( 5 x 461 ) / 2305

= 5 / 461

= 5

Step3:

LCM(1, 180) = 180

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

= 1 / 180

= 1

So, Greatest Common Divisor of 920, 745, 461, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 550, 209, 321
• GCD of 558, 792, 911, 832
• GCD of 170, 196, 557, 335
• GCD of 290, 878, 697, 355
• GCD of 546, 857, 811, 982

Given numbers are 920, 745, 461, 180
The greatest common divisor of numbers 920, 745, 461, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 745, 461, 180 is 1.

1. What is the GCD of 920, 745, 461, 180?

GCD of given numbers 920, 745, 461, 180 is 1

2. How to calculate the greatest common divisor of 920, 745, 461, 180?

We can find the highest common divisor of 920, 745, 461, 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 920, 745, 461, 180 i.e 1.

3. How can I use the GCD of 920, 745, 461, 180Calculator?

Out the numbers 920, 745, 461, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.