GCD of 138, 226, 747, 728 Calculator

Given Input numbers are 138, 226, 747, 728

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

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 (138, 226, 747, 728) = 1.

Given numbers are 138, 226, 747, 728

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 226 are 2 x 113

Prime factors of 747 are 3 x 3 x 83

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 138, 226, 747, 728

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

Apply this formula for all numbers.

Step1:

LCM(138, 226) = 15594

GCD(138, 226) = ( 138 x 226 ) / 15594

= 138 / 226

= 138

Step2:

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

= 2 / 747

= 2

Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1

So, Greatest Common Divisor of 138, 226, 747, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 291, 539, 973
• GCD of 609, 790, 779, 748
• GCD of 598, 688, 519, 392
• GCD of 121, 914, 284, 863
• GCD of 572, 570, 476, 674

Given numbers are 138, 226, 747, 728
The greatest common divisor of numbers 138, 226, 747, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 226, 747, 728 is 1.

1. What is the GCD of 138, 226, 747, 728?

GCD of given numbers 138, 226, 747, 728 is 1

2. How to calculate the greatest common divisor of 138, 226, 747, 728?

We can find the highest common divisor of 138, 226, 747, 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 138, 226, 747, 728 i.e 1.

3. How can I use the GCD of 138, 226, 747, 728Calculator?

Out the numbers 138, 226, 747, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.