GCD of 689, 725, 761, 732 Calculator

Given Input numbers are 689, 725, 761, 732

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (689, 725, 761, 732) = 1.

Given numbers are 689, 725, 761, 732

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 725 are 5 x 5 x 29

Prime factors of 761 are 761

Prime factors of 732 are 2 x 2 x 3 x 61

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

Given numbers are 689, 725, 761, 732

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

Apply this formula for all numbers.

Step1:

LCM(689, 725) = 499525

GCD(689, 725) = ( 689 x 725 ) / 499525

= 689 / 725

= 689

Step2:

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

= 1 / 761

= 1

Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1

So, Greatest Common Divisor of 689, 725, 761, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 721, 593, 739
• GCD of 814, 412, 516, 105
• GCD of 753, 627, 887, 756
• GCD of 613, 349, 498, 345
• GCD of 128, 112, 611, 481

Given numbers are 689, 725, 761, 732
The greatest common divisor of numbers 689, 725, 761, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 725, 761, 732 is 1.

1. What is the GCD of 689, 725, 761, 732?

GCD of given numbers 689, 725, 761, 732 is 1

2. How to calculate the greatest common divisor of 689, 725, 761, 732?

We can find the highest common divisor of 689, 725, 761, 732 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 689, 725, 761, 732 i.e 1.

3. How can I use the GCD of 689, 725, 761, 732Calculator?

Out the numbers 689, 725, 761, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.