GCD of 749, 978, 720, 872 Calculator

Given Input numbers are 749, 978, 720, 872

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 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (749, 978, 720, 872) = 1.

Given numbers are 749, 978, 720, 872

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 749, 978, 720, 872

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

Apply this formula for all numbers.

Step1:

LCM(749, 978) = 732522

GCD(749, 978) = ( 749 x 978 ) / 732522

= 749 / 978

= 749

Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 749, 978, 720, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 715, 409, 986
• GCD of 454, 905, 189, 580
• GCD of 925, 406, 473, 660
• GCD of 916, 260, 659, 220
• GCD of 107, 131, 512, 270

Given numbers are 749, 978, 720, 872
The greatest common divisor of numbers 749, 978, 720, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 978, 720, 872 is 1.

1. What is the GCD of 749, 978, 720, 872?

GCD of given numbers 749, 978, 720, 872 is 1

2. How to calculate the greatest common divisor of 749, 978, 720, 872?

We can find the highest common divisor of 749, 978, 720, 872 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, 978, 720, 872 i.e 1.

3. How can I use the GCD of 749, 978, 720, 872Calculator?

Out the numbers 749, 978, 720, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.