GCD of 180, 148, 456, 909 Calculator

Given Input numbers are 180, 148, 456, 909

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (180, 148, 456, 909) = 1.

Given numbers are 180, 148, 456, 909

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 909 are 3 x 3 x 101

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

Given numbers are 180, 148, 456, 909

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

Apply this formula for all numbers.

Step1:

LCM(180, 148) = 6660

GCD(180, 148) = ( 180 x 148 ) / 6660

= 180 / 148

= 180

Step2:

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

= 4 / 456

= 4

Step3:

LCM(4, 909) = 3636

GCD(4, 909) = ( 4 x 909 ) / 3636

= 4 / 909

= 4

So, Greatest Common Divisor of 180, 148, 456, 909 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 867, 609, 943
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Given numbers are 180, 148, 456, 909
The greatest common divisor of numbers 180, 148, 456, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 148, 456, 909 is 1.

1. What is the GCD of 180, 148, 456, 909?

GCD of given numbers 180, 148, 456, 909 is 1

2. How to calculate the greatest common divisor of 180, 148, 456, 909?

We can find the highest common divisor of 180, 148, 456, 909 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 180, 148, 456, 909 i.e 1.

3. How can I use the GCD of 180, 148, 456, 909Calculator?

Out the numbers 180, 148, 456, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.