GCD of 814, 505, 363, 763 Calculator

Given Input numbers are 814, 505, 363, 763

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 505 :

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

1, 5, 101, 505

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

GCD of numbers is the greatest common divisor

So, the GCD (814, 505, 363, 763) = 1.

Given numbers are 814, 505, 363, 763

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 505 are 5 x 101

Prime factors of 363 are 3 x 11 x 11

Prime factors of 763 are 7 x 109

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

Given numbers are 814, 505, 363, 763

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

Apply this formula for all numbers.

Step1:

LCM(814, 505) = 411070

GCD(814, 505) = ( 814 x 505 ) / 411070

= 814 / 505

= 814

Step2:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

Step3:

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

= 1 / 763

= 1

So, Greatest Common Divisor of 814, 505, 363, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 887, 257, 397
• GCD of 807, 748, 771, 906
• GCD of 791, 866, 982, 686
• GCD of 649, 824, 747, 148
• GCD of 944, 629, 437, 982

Given numbers are 814, 505, 363, 763
The greatest common divisor of numbers 814, 505, 363, 763 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 505, 363, 763 is 1.

1. What is the GCD of 814, 505, 363, 763?

GCD of given numbers 814, 505, 363, 763 is 1

2. How to calculate the greatest common divisor of 814, 505, 363, 763?

We can find the highest common divisor of 814, 505, 363, 763 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 814, 505, 363, 763 i.e 1.

3. How can I use the GCD of 814, 505, 363, 763Calculator?

Out the numbers 814, 505, 363, 763 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.