GCD of 820, 487, 314, 371 Calculator

Given Input numbers are 820, 487, 314, 371

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 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (820, 487, 314, 371) = 1.

Given numbers are 820, 487, 314, 371

The list of prime factors of all numbers are

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

Prime factors of 487 are 487

Prime factors of 314 are 2 x 157

Prime factors of 371 are 7 x 53

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

Given numbers are 820, 487, 314, 371

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

Apply this formula for all numbers.

Step1:

LCM(820, 487) = 399340

GCD(820, 487) = ( 820 x 487 ) / 399340

= 820 / 487

= 820

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

So, Greatest Common Divisor of 820, 487, 314, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 390, 934, 965
• GCD of 104, 792, 262, 864
• GCD of 142, 989, 586, 977
• GCD of 303, 349, 476, 413
• GCD of 283, 588, 505, 476

Given numbers are 820, 487, 314, 371
The greatest common divisor of numbers 820, 487, 314, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 487, 314, 371 is 1.

1. What is the GCD of 820, 487, 314, 371?

GCD of given numbers 820, 487, 314, 371 is 1

2. How to calculate the greatest common divisor of 820, 487, 314, 371?

We can find the highest common divisor of 820, 487, 314, 371 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, 487, 314, 371 i.e 1.

3. How can I use the GCD of 820, 487, 314, 371Calculator?

Out the numbers 820, 487, 314, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.