GCD of 474, 520, 759, 361 Calculator

Given Input numbers are 474, 520, 759, 361

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

Divisors of 474 :

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

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (474, 520, 759, 361) = 1.

Given numbers are 474, 520, 759, 361

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 759 are 3 x 11 x 23

Prime factors of 361 are 19 x 19

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

Given numbers are 474, 520, 759, 361

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

Apply this formula for all numbers.

Step1:

LCM(474, 520) = 123240

GCD(474, 520) = ( 474 x 520 ) / 123240

= 474 / 520

= 474

Step2:

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

= 2 / 759

= 2

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 474, 520, 759, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 592, 849, 272
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Given numbers are 474, 520, 759, 361
The greatest common divisor of numbers 474, 520, 759, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 520, 759, 361 is 1.

1. What is the GCD of 474, 520, 759, 361?

GCD of given numbers 474, 520, 759, 361 is 1

2. How to calculate the greatest common divisor of 474, 520, 759, 361?

We can find the highest common divisor of 474, 520, 759, 361 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 474, 520, 759, 361 i.e 1.

3. How can I use the GCD of 474, 520, 759, 361Calculator?

Out the numbers 474, 520, 759, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.