GCD of 105, 520, 508, 171 Calculator

Given Input numbers are 105, 520, 508, 171

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (105, 520, 508, 171) = 1.

Given numbers are 105, 520, 508, 171

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 105, 520, 508, 171

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

Apply this formula for all numbers.

Step1:

LCM(105, 520) = 10920

GCD(105, 520) = ( 105 x 520 ) / 10920

= 105 / 520

= 105

Step2:

LCM(5, 508) = 2540

GCD(5, 508) = ( 5 x 508 ) / 2540

= 5 / 508

= 5

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 105, 520, 508, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 642, 619, 601
• GCD of 207, 363, 907, 575
• GCD of 863, 948, 680, 225
• GCD of 581, 703, 380, 178
• GCD of 412, 978, 668, 206

Given numbers are 105, 520, 508, 171
The greatest common divisor of numbers 105, 520, 508, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 520, 508, 171 is 1.

1. What is the GCD of 105, 520, 508, 171?

GCD of given numbers 105, 520, 508, 171 is 1

2. How to calculate the greatest common divisor of 105, 520, 508, 171?

We can find the highest common divisor of 105, 520, 508, 171 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 105, 520, 508, 171 i.e 1.

3. How can I use the GCD of 105, 520, 508, 171Calculator?

Out the numbers 105, 520, 508, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.