GCD of 987, 463, 400, 820 Calculator

Given Input numbers are 987, 463, 400, 820

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

GCD of numbers is the greatest common divisor

So, the GCD (987, 463, 400, 820) = 1.

Given numbers are 987, 463, 400, 820

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 463 are 463

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

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

Given numbers are 987, 463, 400, 820

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

Apply this formula for all numbers.

Step1:

LCM(987, 463) = 456981

GCD(987, 463) = ( 987 x 463 ) / 456981

= 987 / 463

= 987

Step2:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 987, 463, 400, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 531, 627, 991
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Given numbers are 987, 463, 400, 820
The greatest common divisor of numbers 987, 463, 400, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 463, 400, 820 is 1.

1. What is the GCD of 987, 463, 400, 820?

GCD of given numbers 987, 463, 400, 820 is 1

2. How to calculate the greatest common divisor of 987, 463, 400, 820?

We can find the highest common divisor of 987, 463, 400, 820 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 987, 463, 400, 820 i.e 1.

3. How can I use the GCD of 987, 463, 400, 820Calculator?

Out the numbers 987, 463, 400, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.