GCD of 135, 972, 434, 193 Calculator

Given Input numbers are 135, 972, 434, 193

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 193 :

The positive integer divisors of 193 that completely divides 193 are.

1, 193

GCD of numbers is the greatest common divisor

So, the GCD (135, 972, 434, 193) = 1.

Given numbers are 135, 972, 434, 193

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 434 are 2 x 7 x 31

Prime factors of 193 are 193

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

Given numbers are 135, 972, 434, 193

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

Apply this formula for all numbers.

Step1:

LCM(135, 972) = 4860

GCD(135, 972) = ( 135 x 972 ) / 4860

= 135 / 972

= 135

Step2:

LCM(27, 434) = 11718

GCD(27, 434) = ( 27 x 434 ) / 11718

= 27 / 434

= 27

Step3:

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

= 1 / 193

= 1

So, Greatest Common Divisor of 135, 972, 434, 193 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 720, 877, 775
• GCD of 713, 442, 336, 315
• GCD of 715, 109, 768, 814
• GCD of 110, 645, 389, 712
• GCD of 150, 735, 240, 592

Given numbers are 135, 972, 434, 193
The greatest common divisor of numbers 135, 972, 434, 193 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 972, 434, 193 is 1.

1. What is the GCD of 135, 972, 434, 193?

GCD of given numbers 135, 972, 434, 193 is 1

2. How to calculate the greatest common divisor of 135, 972, 434, 193?

We can find the highest common divisor of 135, 972, 434, 193 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, 972, 434, 193 i.e 1.

3. How can I use the GCD of 135, 972, 434, 193Calculator?

Out the numbers 135, 972, 434, 193 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.