GCD of 726, 332, 687, 749 Calculator

Given Input numbers are 726, 332, 687, 749

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 749 :

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

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (726, 332, 687, 749) = 1.

Given numbers are 726, 332, 687, 749

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 332 are 2 x 2 x 83

Prime factors of 687 are 3 x 229

Prime factors of 749 are 7 x 107

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

Given numbers are 726, 332, 687, 749

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

Apply this formula for all numbers.

Step1:

LCM(726, 332) = 120516

GCD(726, 332) = ( 726 x 332 ) / 120516

= 726 / 332

= 726

Step2:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 726, 332, 687, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 845, 863, 893
• GCD of 186, 653, 333, 834
• GCD of 630, 431, 939, 112
• GCD of 175, 444, 989, 294
• GCD of 515, 280, 169, 557

Given numbers are 726, 332, 687, 749
The greatest common divisor of numbers 726, 332, 687, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 332, 687, 749 is 1.

1. What is the GCD of 726, 332, 687, 749?

GCD of given numbers 726, 332, 687, 749 is 1

2. How to calculate the greatest common divisor of 726, 332, 687, 749?

We can find the highest common divisor of 726, 332, 687, 749 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 726, 332, 687, 749 i.e 1.

3. How can I use the GCD of 726, 332, 687, 749Calculator?

Out the numbers 726, 332, 687, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.