GCD of 454, 980, 51, 180 Calculator

Given Input numbers are 454, 980, 51, 180

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

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

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 (454, 980, 51, 180) = 1.

Given numbers are 454, 980, 51, 180

The list of prime factors of all numbers are

Prime factors of 454 are 2 x 227

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 51 are 3 x 17

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 454, 980, 51, 180

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

Apply this formula for all numbers.

Step1:

LCM(454, 980) = 222460

GCD(454, 980) = ( 454 x 980 ) / 222460

= 454 / 980

= 454

Step2:

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

= 2 / 51

= 2

Step3:

LCM(1, 180) = 180

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

= 1 / 180

= 1

So, Greatest Common Divisor of 454, 980, 51, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 773, 29, 462
• GCD of 800, 428, 62, 801
• GCD of 702, 690, 20, 207
• GCD of 785, 309, 64, 153
• GCD of 935, 380, 99, 264

Given numbers are 454, 980, 51, 180
The greatest common divisor of numbers 454, 980, 51, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 454, 980, 51, 180 is 1.

1. What is the GCD of 454, 980, 51, 180?

GCD of given numbers 454, 980, 51, 180 is 1

2. How to calculate the greatest common divisor of 454, 980, 51, 180?

We can find the highest common divisor of 454, 980, 51, 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 454, 980, 51, 180 i.e 1.

3. How can I use the GCD of 454, 980, 51, 180Calculator?

Out the numbers 454, 980, 51, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.