GCD of 749, 338, 501, 728 Calculator

Given Input numbers are 749, 338, 501, 728

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (749, 338, 501, 728) = 1.

Given numbers are 749, 338, 501, 728

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 338 are 2 x 13 x 13

Prime factors of 501 are 3 x 167

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 749, 338, 501, 728

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

Apply this formula for all numbers.

Step1:

LCM(749, 338) = 253162

GCD(749, 338) = ( 749 x 338 ) / 253162

= 749 / 338

= 749

Step2:

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

= 1 / 501

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 749, 338, 501, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 477, 617, 878
• GCD of 854, 424, 291, 678
• GCD of 280, 569, 719, 704
• GCD of 310, 384, 138, 376
• GCD of 898, 287, 927, 818

Given numbers are 749, 338, 501, 728
The greatest common divisor of numbers 749, 338, 501, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 338, 501, 728 is 1.

1. What is the GCD of 749, 338, 501, 728?

GCD of given numbers 749, 338, 501, 728 is 1

2. How to calculate the greatest common divisor of 749, 338, 501, 728?

We can find the highest common divisor of 749, 338, 501, 728 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, 338, 501, 728 i.e 1.

3. How can I use the GCD of 749, 338, 501, 728Calculator?

Out the numbers 749, 338, 501, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.