GCD of 135, 103, 505, 242 Calculator

Given Input numbers are 135, 103, 505, 242

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 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (135, 103, 505, 242) = 1.

Given numbers are 135, 103, 505, 242

The list of prime factors of all numbers are

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

Prime factors of 103 are 103

Prime factors of 505 are 5 x 101

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 135, 103, 505, 242

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

Apply this formula for all numbers.

Step1:

LCM(135, 103) = 13905

GCD(135, 103) = ( 135 x 103 ) / 13905

= 135 / 103

= 135

Step2:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 135, 103, 505, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 691, 869, 900
• GCD of 191, 461, 357, 518
• GCD of 497, 124, 647, 282
• GCD of 873, 376, 151, 676
• GCD of 698, 580, 596, 227

Given numbers are 135, 103, 505, 242
The greatest common divisor of numbers 135, 103, 505, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 103, 505, 242 is 1.

1. What is the GCD of 135, 103, 505, 242?

GCD of given numbers 135, 103, 505, 242 is 1

2. How to calculate the greatest common divisor of 135, 103, 505, 242?

We can find the highest common divisor of 135, 103, 505, 242 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, 103, 505, 242 i.e 1.

3. How can I use the GCD of 135, 103, 505, 242Calculator?

Out the numbers 135, 103, 505, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.