GCD of 824, 114, 180, 421 Calculator

Given Input numbers are 824, 114, 180, 421

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (824, 114, 180, 421) = 1.

Given numbers are 824, 114, 180, 421

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 114 are 2 x 3 x 19

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

Prime factors of 421 are 421

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

Given numbers are 824, 114, 180, 421

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

Apply this formula for all numbers.

Step1:

LCM(824, 114) = 46968

GCD(824, 114) = ( 824 x 114 ) / 46968

= 824 / 114

= 824

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

= 2 / 421

= 2

So, Greatest Common Divisor of 824, 114, 180, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 780, 147, 307
• GCD of 628, 199, 855, 913
• GCD of 622, 148, 148, 444
• GCD of 451, 370, 849, 707
• GCD of 605, 964, 616, 145

Given numbers are 824, 114, 180, 421
The greatest common divisor of numbers 824, 114, 180, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 114, 180, 421 is 1.

1. What is the GCD of 824, 114, 180, 421?

GCD of given numbers 824, 114, 180, 421 is 1

2. How to calculate the greatest common divisor of 824, 114, 180, 421?

We can find the highest common divisor of 824, 114, 180, 421 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 824, 114, 180, 421 i.e 1.

3. How can I use the GCD of 824, 114, 180, 421Calculator?

Out the numbers 824, 114, 180, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.