GCD of 431, 656, 729, 742 Calculator

Given Input numbers are 431, 656, 729, 742

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (431, 656, 729, 742) = 1.

Given numbers are 431, 656, 729, 742

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 431, 656, 729, 742

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

Apply this formula for all numbers.

Step1:

LCM(431, 656) = 282736

GCD(431, 656) = ( 431 x 656 ) / 282736

= 431 / 656

= 431

Step2:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 431, 656, 729, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 903, 863, 421
• GCD of 807, 238, 602, 535
• GCD of 834, 210, 639, 572
• GCD of 435, 953, 996, 385
• GCD of 329, 382, 526, 887

Given numbers are 431, 656, 729, 742
The greatest common divisor of numbers 431, 656, 729, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 656, 729, 742 is 1.

1. What is the GCD of 431, 656, 729, 742?

GCD of given numbers 431, 656, 729, 742 is 1

2. How to calculate the greatest common divisor of 431, 656, 729, 742?

We can find the highest common divisor of 431, 656, 729, 742 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 431, 656, 729, 742 i.e 1.

3. How can I use the GCD of 431, 656, 729, 742Calculator?

Out the numbers 431, 656, 729, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.