GCD of 135, 242, 60, 398 Calculator

Given Input numbers are 135, 242, 60, 398

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (135, 242, 60, 398) = 1.

Given numbers are 135, 242, 60, 398

The list of prime factors of all numbers are

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 398 are 2 x 199

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

Given numbers are 135, 242, 60, 398

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

Apply this formula for all numbers.

Step1:

LCM(135, 242) = 32670

GCD(135, 242) = ( 135 x 242 ) / 32670

= 135 / 242

= 135

Step2:

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

= 1 / 60

= 1

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 135, 242, 60, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 780, 89, 372
• GCD of 160, 246, 97, 404
• GCD of 205, 722, 88, 967
• GCD of 549, 460, 30, 259
• GCD of 280, 451, 55, 951

Given numbers are 135, 242, 60, 398
The greatest common divisor of numbers 135, 242, 60, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 242, 60, 398 is 1.

1. What is the GCD of 135, 242, 60, 398?

GCD of given numbers 135, 242, 60, 398 is 1

2. How to calculate the greatest common divisor of 135, 242, 60, 398?

We can find the highest common divisor of 135, 242, 60, 398 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, 242, 60, 398 i.e 1.

3. How can I use the GCD of 135, 242, 60, 398Calculator?

Out the numbers 135, 242, 60, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.