GCD of 452, 820, 687 Calculator

Given Input numbers are 452, 820, 687

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (452, 820, 687) = 1.

Given numbers are 452, 820, 687

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 687 are 3 x 229

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

Given numbers are 452, 820, 687

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

Apply this formula for all numbers.

Step1:

LCM(452, 820) = 92660

GCD(452, 820) = ( 452 x 820 ) / 92660

= 452 / 820

= 452

Step2:

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

= 4 / 687

= 4

So, Greatest Common Divisor of 452, 820, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 503, 568
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Given numbers are 452, 820, 687
The greatest common divisor of numbers 452, 820, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 820, 687 is 1.

1. What is the GCD of 452, 820, 687?

GCD of given numbers 452, 820, 687 is 1

2. How to calculate the greatest common divisor of 452, 820, 687?

We can find the highest common divisor of 452, 820, 687 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 452, 820, 687 i.e 1.

3. How can I use the GCD of 452, 820, 687Calculator?

Out the numbers 452, 820, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.