GCD of 820, 505, 785, 338 Calculator

Given Input numbers are 820, 505, 785, 338

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (820, 505, 785, 338) = 1.

Given numbers are 820, 505, 785, 338

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

Prime factors of 785 are 5 x 157

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 820, 505, 785, 338

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

Apply this formula for all numbers.

Step1:

LCM(820, 505) = 82820

GCD(820, 505) = ( 820 x 505 ) / 82820

= 820 / 505

= 820

Step2:

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

= 5 / 785

= 5

Step3:

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

= 5 / 338

= 5

So, Greatest Common Divisor of 820, 505, 785, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 727, 705, 962
• GCD of 849, 944, 626, 520
• GCD of 249, 435, 328, 824
• GCD of 272, 238, 835, 860
• GCD of 913, 867, 465, 802

Given numbers are 820, 505, 785, 338
The greatest common divisor of numbers 820, 505, 785, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 505, 785, 338 is 1.

1. What is the GCD of 820, 505, 785, 338?

GCD of given numbers 820, 505, 785, 338 is 1

2. How to calculate the greatest common divisor of 820, 505, 785, 338?

We can find the highest common divisor of 820, 505, 785, 338 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, 505, 785, 338 i.e 1.

3. How can I use the GCD of 820, 505, 785, 338Calculator?

Out the numbers 820, 505, 785, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.