GCD of 749, 720, 216, 787 Calculator

Given Input numbers are 749, 720, 216, 787

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

GCD of numbers is the greatest common divisor

So, the GCD (749, 720, 216, 787) = 1.

Given numbers are 749, 720, 216, 787

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 787 are 787

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

Given numbers are 749, 720, 216, 787

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

Apply this formula for all numbers.

Step1:

LCM(749, 720) = 539280

GCD(749, 720) = ( 749 x 720 ) / 539280

= 749 / 720

= 749

Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

Step3:

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

= 1 / 787

= 1

So, Greatest Common Divisor of 749, 720, 216, 787 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 151, 937, 735
• GCD of 121, 147, 717, 723
• GCD of 113, 278, 940, 401
• GCD of 698, 921, 383, 230
• GCD of 613, 563, 769, 929

Given numbers are 749, 720, 216, 787
The greatest common divisor of numbers 749, 720, 216, 787 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 720, 216, 787 is 1.

1. What is the GCD of 749, 720, 216, 787?

GCD of given numbers 749, 720, 216, 787 is 1

2. How to calculate the greatest common divisor of 749, 720, 216, 787?

We can find the highest common divisor of 749, 720, 216, 787 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 749, 720, 216, 787 i.e 1.

3. How can I use the GCD of 749, 720, 216, 787Calculator?

Out the numbers 749, 720, 216, 787 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.