GCD of 782, 720, 135, 743 Calculator

Given Input numbers are 782, 720, 135, 743

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 135 :

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

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

GCD of numbers is the greatest common divisor

So, the GCD (782, 720, 135, 743) = 1.

Given numbers are 782, 720, 135, 743

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 743 are 743

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

Given numbers are 782, 720, 135, 743

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

Apply this formula for all numbers.

Step1:

LCM(782, 720) = 281520

GCD(782, 720) = ( 782 x 720 ) / 281520

= 782 / 720

= 782

Step2:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1

So, Greatest Common Divisor of 782, 720, 135, 743 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 218, 348, 713
• GCD of 408, 666, 498, 157
• GCD of 604, 693, 327, 100
• GCD of 748, 290, 395, 877
• GCD of 704, 727, 847, 817

Given numbers are 782, 720, 135, 743
The greatest common divisor of numbers 782, 720, 135, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 720, 135, 743 is 1.

1. What is the GCD of 782, 720, 135, 743?

GCD of given numbers 782, 720, 135, 743 is 1

2. How to calculate the greatest common divisor of 782, 720, 135, 743?

We can find the highest common divisor of 782, 720, 135, 743 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, 720, 135, 743 i.e 1.

3. How can I use the GCD of 782, 720, 135, 743Calculator?

Out the numbers 782, 720, 135, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.