GCD of 488, 561, 749, 746 Calculator

Given Input numbers are 488, 561, 749, 746

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (488, 561, 749, 746) = 1.

Given numbers are 488, 561, 749, 746

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 561 are 3 x 11 x 17

Prime factors of 749 are 7 x 107

Prime factors of 746 are 2 x 373

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

Given numbers are 488, 561, 749, 746

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

Apply this formula for all numbers.

Step1:

LCM(488, 561) = 273768

GCD(488, 561) = ( 488 x 561 ) / 273768

= 488 / 561

= 488

Step2:

LCM(1, 749) = 749

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

= 1 / 749

= 1

Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

So, Greatest Common Divisor of 488, 561, 749, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 479, 582, 309
• GCD of 834, 636, 119, 513
• GCD of 152, 409, 167, 436
• GCD of 121, 330, 779, 717
• GCD of 785, 760, 752, 515

Given numbers are 488, 561, 749, 746
The greatest common divisor of numbers 488, 561, 749, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 561, 749, 746 is 1.

1. What is the GCD of 488, 561, 749, 746?

GCD of given numbers 488, 561, 749, 746 is 1

2. How to calculate the greatest common divisor of 488, 561, 749, 746?

We can find the highest common divisor of 488, 561, 749, 746 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 488, 561, 749, 746 i.e 1.

3. How can I use the GCD of 488, 561, 749, 746Calculator?

Out the numbers 488, 561, 749, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.