GCD of 513, 174, 702, 638 Calculator

Given Input numbers are 513, 174, 702, 638

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (513, 174, 702, 638) = 1.

Given numbers are 513, 174, 702, 638

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 174 are 2 x 3 x 29

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 513, 174, 702, 638

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

Apply this formula for all numbers.

Step1:

LCM(513, 174) = 29754

GCD(513, 174) = ( 513 x 174 ) / 29754

= 513 / 174

= 513

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

= 3 / 638

= 3

So, Greatest Common Divisor of 513, 174, 702, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 593, 683, 266
• GCD of 642, 352, 367, 453
• GCD of 855, 508, 236, 385
• GCD of 188, 191, 499, 123
• GCD of 501, 931, 243, 748

Given numbers are 513, 174, 702, 638
The greatest common divisor of numbers 513, 174, 702, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 174, 702, 638 is 1.

1. What is the GCD of 513, 174, 702, 638?

GCD of given numbers 513, 174, 702, 638 is 1

2. How to calculate the greatest common divisor of 513, 174, 702, 638?

We can find the highest common divisor of 513, 174, 702, 638 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 513, 174, 702, 638 i.e 1.

3. How can I use the GCD of 513, 174, 702, 638Calculator?

Out the numbers 513, 174, 702, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.