GCD of 820, 124, 313, 400 Calculator

Given Input numbers are 820, 124, 313, 400

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

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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

GCD of numbers is the greatest common divisor

So, the GCD (820, 124, 313, 400) = 1.

Given numbers are 820, 124, 313, 400

The list of prime factors of all numbers are

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

Prime factors of 124 are 2 x 2 x 31

Prime factors of 313 are 313

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

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

Given numbers are 820, 124, 313, 400

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

Apply this formula for all numbers.

Step1:

LCM(820, 124) = 25420

GCD(820, 124) = ( 820 x 124 ) / 25420

= 820 / 124

= 820

Step2:

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

= 4 / 313

= 4

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 820, 124, 313, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 888, 844, 944
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• GCD of 449, 723, 341, 795
• GCD of 765, 425, 583, 221
• GCD of 967, 328, 151, 120

Given numbers are 820, 124, 313, 400
The greatest common divisor of numbers 820, 124, 313, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 124, 313, 400 is 1.

1. What is the GCD of 820, 124, 313, 400?

GCD of given numbers 820, 124, 313, 400 is 1

2. How to calculate the greatest common divisor of 820, 124, 313, 400?

We can find the highest common divisor of 820, 124, 313, 400 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 820, 124, 313, 400 i.e 1.

3. How can I use the GCD of 820, 124, 313, 400Calculator?

Out the numbers 820, 124, 313, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.