GCD of 746, 726, 728, 291 Calculator

Given Input numbers are 746, 726, 728, 291

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

Divisors of 746 :

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

1, 2, 373, 746

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 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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (746, 726, 728, 291) = 1.

Given numbers are 746, 726, 728, 291

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

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

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

Prime factors of 291 are 3 x 97

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

Given numbers are 746, 726, 728, 291

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

Apply this formula for all numbers.

Step1:

LCM(746, 726) = 270798

GCD(746, 726) = ( 746 x 726 ) / 270798

= 746 / 726

= 746

Step2:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

Step3:

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

= 2 / 291

= 2

So, Greatest Common Divisor of 746, 726, 728, 291 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 149, 321, 735
• GCD of 690, 783, 435, 376
• GCD of 248, 941, 697, 603
• GCD of 818, 242, 478, 510
• GCD of 884, 308, 374, 196

Given numbers are 746, 726, 728, 291
The greatest common divisor of numbers 746, 726, 728, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 726, 728, 291 is 1.

1. What is the GCD of 746, 726, 728, 291?

GCD of given numbers 746, 726, 728, 291 is 1

2. How to calculate the greatest common divisor of 746, 726, 728, 291?

We can find the highest common divisor of 746, 726, 728, 291 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 746, 726, 728, 291 i.e 1.

3. How can I use the GCD of 746, 726, 728, 291Calculator?

Out the numbers 746, 726, 728, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.