GCD of 505, 676, 189, 474 Calculator

Given Input numbers are 505, 676, 189, 474

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

Divisors of 505 :

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

1, 5, 101, 505

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (505, 676, 189, 474) = 1.

Given numbers are 505, 676, 189, 474

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 474 are 2 x 3 x 79

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

Given numbers are 505, 676, 189, 474

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

Apply this formula for all numbers.

Step1:

LCM(505, 676) = 341380

GCD(505, 676) = ( 505 x 676 ) / 341380

= 505 / 676

= 505

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

= 1 / 474

= 1

So, Greatest Common Divisor of 505, 676, 189, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 404, 645, 396
• GCD of 471, 625, 264, 900
• GCD of 386, 311, 724, 362
• GCD of 568, 710, 665, 854
• GCD of 393, 510, 658, 397

Given numbers are 505, 676, 189, 474
The greatest common divisor of numbers 505, 676, 189, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 676, 189, 474 is 1.

1. What is the GCD of 505, 676, 189, 474?

GCD of given numbers 505, 676, 189, 474 is 1

2. How to calculate the greatest common divisor of 505, 676, 189, 474?

We can find the highest common divisor of 505, 676, 189, 474 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 505, 676, 189, 474 i.e 1.

3. How can I use the GCD of 505, 676, 189, 474Calculator?

Out the numbers 505, 676, 189, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.