GCD of 135, 420, 242, 619 Calculator

Given Input numbers are 135, 420, 242, 619

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 619 :

The positive integer divisors of 619 that completely divides 619 are.

1, 619

GCD of numbers is the greatest common divisor

So, the GCD (135, 420, 242, 619) = 1.

Given numbers are 135, 420, 242, 619

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 242 are 2 x 11 x 11

Prime factors of 619 are 619

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

Given numbers are 135, 420, 242, 619

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

Apply this formula for all numbers.

Step1:

LCM(135, 420) = 3780

GCD(135, 420) = ( 135 x 420 ) / 3780

= 135 / 420

= 135

Step2:

LCM(15, 242) = 3630

GCD(15, 242) = ( 15 x 242 ) / 3630

= 15 / 242

= 15

Step3:

LCM(1, 619) = 619

GCD(1, 619) = ( 1 x 619 ) / 619

= 1 / 619

= 1

So, Greatest Common Divisor of 135, 420, 242, 619 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 620, 694, 903
• GCD of 542, 258, 635, 980
• GCD of 877, 763, 862, 350
• GCD of 652, 852, 844, 933
• GCD of 819, 270, 969, 815

Given numbers are 135, 420, 242, 619
The greatest common divisor of numbers 135, 420, 242, 619 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 420, 242, 619 is 1.

1. What is the GCD of 135, 420, 242, 619?

GCD of given numbers 135, 420, 242, 619 is 1

2. How to calculate the greatest common divisor of 135, 420, 242, 619?

We can find the highest common divisor of 135, 420, 242, 619 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, 420, 242, 619 i.e 1.

3. How can I use the GCD of 135, 420, 242, 619Calculator?

Out the numbers 135, 420, 242, 619 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.