GCD of 135, 105, 249, 742 Calculator

Given Input numbers are 135, 105, 249, 742

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (135, 105, 249, 742) = 1.

Given numbers are 135, 105, 249, 742

The list of prime factors of all numbers are

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 249 are 3 x 83

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 135, 105, 249, 742

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

Apply this formula for all numbers.

Step1:

LCM(135, 105) = 945

GCD(135, 105) = ( 135 x 105 ) / 945

= 135 / 105

= 135

Step2:

LCM(15, 249) = 1245

GCD(15, 249) = ( 15 x 249 ) / 1245

= 15 / 249

= 15

Step3:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

So, Greatest Common Divisor of 135, 105, 249, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 242, 749, 657
• GCD of 699, 159, 832, 984
• GCD of 736, 907, 947, 846
• GCD of 833, 219, 690, 478
• GCD of 684, 679, 325, 350

Given numbers are 135, 105, 249, 742
The greatest common divisor of numbers 135, 105, 249, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 105, 249, 742 is 1.

1. What is the GCD of 135, 105, 249, 742?

GCD of given numbers 135, 105, 249, 742 is 1

2. How to calculate the greatest common divisor of 135, 105, 249, 742?

We can find the highest common divisor of 135, 105, 249, 742 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, 105, 249, 742 i.e 1.

3. How can I use the GCD of 135, 105, 249, 742Calculator?

Out the numbers 135, 105, 249, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.