GCD of 135, 913, 916, 738 Calculator

Given Input numbers are 135, 913, 916, 738

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 (135, 913, 916, 738) = 1.

Given numbers are 135, 913, 916, 738

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 913 are 11 x 83

Prime factors of 916 are 2 x 2 x 229

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 135, 913, 916, 738

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

Apply this formula for all numbers.

Step1:

LCM(135, 913) = 123255

GCD(135, 913) = ( 135 x 913 ) / 123255

= 135 / 913

= 135

Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

Step3:

LCM(1, 738) = 738

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

= 1 / 738

= 1

So, Greatest Common Divisor of 135, 913, 916, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 539, 529, 197
• GCD of 592, 567, 360, 409
• GCD of 466, 398, 729, 575
• GCD of 215, 301, 399, 348
• GCD of 881, 978, 257, 268

Given numbers are 135, 913, 916, 738
The greatest common divisor of numbers 135, 913, 916, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 913, 916, 738 is 1.

1. What is the GCD of 135, 913, 916, 738?

GCD of given numbers 135, 913, 916, 738 is 1

2. How to calculate the greatest common divisor of 135, 913, 916, 738?

We can find the highest common divisor of 135, 913, 916, 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 135, 913, 916, 738 i.e 1.

3. How can I use the GCD of 135, 913, 916, 738Calculator?

Out the numbers 135, 913, 916, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.