GCD of 782, 459, 901, 135 Calculator

Given Input numbers are 782, 459, 901, 135

In the factoring method, we have to find the divisors of all numbers

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (782, 459, 901, 135) = 1.

Given numbers are 782, 459, 901, 135

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 901 are 17 x 53

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

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

Given numbers are 782, 459, 901, 135

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

Apply this formula for all numbers.

Step1:

LCM(782, 459) = 21114

GCD(782, 459) = ( 782 x 459 ) / 21114

= 782 / 459

= 782

Step2:

LCM(17, 901) = 901

GCD(17, 901) = ( 17 x 901 ) / 901

= 17 / 901

= 17

Step3:

LCM(17, 135) = 2295

GCD(17, 135) = ( 17 x 135 ) / 2295

= 17 / 135

= 17

So, Greatest Common Divisor of 782, 459, 901, 135 is 1

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Given numbers are 782, 459, 901, 135
The greatest common divisor of numbers 782, 459, 901, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 459, 901, 135 is 1.

1. What is the GCD of 782, 459, 901, 135?

GCD of given numbers 782, 459, 901, 135 is 1

2. How to calculate the greatest common divisor of 782, 459, 901, 135?

We can find the highest common divisor of 782, 459, 901, 135 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 782, 459, 901, 135 i.e 1.

3. How can I use the GCD of 782, 459, 901, 135Calculator?

Out the numbers 782, 459, 901, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.