GCD of 821, 456, 144, 235 Calculator

Given Input numbers are 821, 456, 144, 235

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

GCD of numbers is the greatest common divisor

So, the GCD (821, 456, 144, 235) = 1.

Given numbers are 821, 456, 144, 235

The list of prime factors of all numbers are

Prime factors of 821 are 821

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 235 are 5 x 47

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

Given numbers are 821, 456, 144, 235

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

Apply this formula for all numbers.

Step1:

LCM(821, 456) = 374376

GCD(821, 456) = ( 821 x 456 ) / 374376

= 821 / 456

= 821

Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

Step3:

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

= 1 / 235

= 1

So, Greatest Common Divisor of 821, 456, 144, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 126, 273, 362
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Given numbers are 821, 456, 144, 235
The greatest common divisor of numbers 821, 456, 144, 235 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 456, 144, 235 is 1.

1. What is the GCD of 821, 456, 144, 235?

GCD of given numbers 821, 456, 144, 235 is 1

2. How to calculate the greatest common divisor of 821, 456, 144, 235?

We can find the highest common divisor of 821, 456, 144, 235 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 821, 456, 144, 235 i.e 1.

3. How can I use the GCD of 821, 456, 144, 235Calculator?

Out the numbers 821, 456, 144, 235 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.