GCD of 820, 407, 684, 313 Calculator

Given Input numbers are 820, 407, 684, 313

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 313 :

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

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (820, 407, 684, 313) = 1.

Given numbers are 820, 407, 684, 313

The list of prime factors of all numbers are

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

Prime factors of 407 are 11 x 37

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 313 are 313

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

Given numbers are 820, 407, 684, 313

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

Apply this formula for all numbers.

Step1:

LCM(820, 407) = 333740

GCD(820, 407) = ( 820 x 407 ) / 333740

= 820 / 407

= 820

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 820, 407, 684, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 226, 993, 862
• GCD of 968, 246, 766, 139
• GCD of 529, 932, 620, 259
• GCD of 642, 966, 444, 318
• GCD of 379, 640, 455, 815

Given numbers are 820, 407, 684, 313
The greatest common divisor of numbers 820, 407, 684, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 407, 684, 313 is 1.

1. What is the GCD of 820, 407, 684, 313?

GCD of given numbers 820, 407, 684, 313 is 1

2. How to calculate the greatest common divisor of 820, 407, 684, 313?

We can find the highest common divisor of 820, 407, 684, 313 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, 407, 684, 313 i.e 1.

3. How can I use the GCD of 820, 407, 684, 313Calculator?

Out the numbers 820, 407, 684, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.