GCD of 107, 520, 180, 738 Calculator

Given Input numbers are 107, 520, 180, 738

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (107, 520, 180, 738) = 1.

Given numbers are 107, 520, 180, 738

The list of prime factors of all numbers are

Prime factors of 107 are 107

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 107, 520, 180, 738

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

Apply this formula for all numbers.

Step1:

LCM(107, 520) = 55640

GCD(107, 520) = ( 107 x 520 ) / 55640

= 107 / 520

= 107

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 107, 520, 180, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 244, 427, 132
• GCD of 573, 820, 173, 170
• GCD of 653, 612, 673, 632
• GCD of 998, 853, 656, 864
• GCD of 245, 953, 584, 319

Given numbers are 107, 520, 180, 738
The greatest common divisor of numbers 107, 520, 180, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 520, 180, 738 is 1.

1. What is the GCD of 107, 520, 180, 738?

GCD of given numbers 107, 520, 180, 738 is 1

2. How to calculate the greatest common divisor of 107, 520, 180, 738?

We can find the highest common divisor of 107, 520, 180, 738 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 107, 520, 180, 738 i.e 1.

3. How can I use the GCD of 107, 520, 180, 738Calculator?

Out the numbers 107, 520, 180, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.