GCD of 135, 224, 491, 738 Calculator

Given Input numbers are 135, 224, 491, 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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

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, 224, 491, 738) = 1.

Given numbers are 135, 224, 491, 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 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 491 are 491

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, 224, 491, 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, 224) = 30240

GCD(135, 224) = ( 135 x 224 ) / 30240

= 135 / 224

= 135

Step2:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

Step3:

LCM(1, 738) = 738

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

= 1 / 738

= 1

So, Greatest Common Divisor of 135, 224, 491, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 125, 230, 395
• GCD of 252, 895, 401, 324
• GCD of 846, 664, 373, 689
• GCD of 165, 996, 323, 756
• GCD of 532, 981, 653, 295

Given numbers are 135, 224, 491, 738
The greatest common divisor of numbers 135, 224, 491, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 224, 491, 738 is 1.

1. What is the GCD of 135, 224, 491, 738?

GCD of given numbers 135, 224, 491, 738 is 1

2. How to calculate the greatest common divisor of 135, 224, 491, 738?

We can find the highest common divisor of 135, 224, 491, 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, 224, 491, 738 i.e 1.

3. How can I use the GCD of 135, 224, 491, 738Calculator?

Out the numbers 135, 224, 491, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.