GCD of 734, 517, 720, 889 Calculator

Given Input numbers are 734, 517, 720, 889

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

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 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (734, 517, 720, 889) = 1.

Given numbers are 734, 517, 720, 889

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 517 are 11 x 47

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

Prime factors of 889 are 7 x 127

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

Given numbers are 734, 517, 720, 889

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

Apply this formula for all numbers.

Step1:

LCM(734, 517) = 379478

GCD(734, 517) = ( 734 x 517 ) / 379478

= 734 / 517

= 734

Step2:

LCM(1, 720) = 720

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

= 1 / 720

= 1

Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1

So, Greatest Common Divisor of 734, 517, 720, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 590, 536, 499
• GCD of 269, 549, 793, 502
• GCD of 298, 234, 277, 636
• GCD of 445, 705, 471, 920
• GCD of 844, 414, 414, 231

Given numbers are 734, 517, 720, 889
The greatest common divisor of numbers 734, 517, 720, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 517, 720, 889 is 1.

1. What is the GCD of 734, 517, 720, 889?

GCD of given numbers 734, 517, 720, 889 is 1

2. How to calculate the greatest common divisor of 734, 517, 720, 889?

We can find the highest common divisor of 734, 517, 720, 889 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 734, 517, 720, 889 i.e 1.

3. How can I use the GCD of 734, 517, 720, 889Calculator?

Out the numbers 734, 517, 720, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.