GCD of 742, 312, 452, 431 Calculator

Given Input numbers are 742, 312, 452, 431

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

Divisors of 742 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 431 :

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

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (742, 312, 452, 431) = 1.

Given numbers are 742, 312, 452, 431

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 452 are 2 x 2 x 113

Prime factors of 431 are 431

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

Given numbers are 742, 312, 452, 431

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

Apply this formula for all numbers.

Step1:

LCM(742, 312) = 115752

GCD(742, 312) = ( 742 x 312 ) / 115752

= 742 / 312

= 742

Step2:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

Step3:

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

= 2 / 431

= 2

So, Greatest Common Divisor of 742, 312, 452, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 742, 823, 375
• GCD of 218, 644, 489, 766
• GCD of 360, 397, 219, 768
• GCD of 590, 741, 249, 736
• GCD of 673, 889, 815, 916

Given numbers are 742, 312, 452, 431
The greatest common divisor of numbers 742, 312, 452, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 312, 452, 431 is 1.

1. What is the GCD of 742, 312, 452, 431?

GCD of given numbers 742, 312, 452, 431 is 1

2. How to calculate the greatest common divisor of 742, 312, 452, 431?

We can find the highest common divisor of 742, 312, 452, 431 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 742, 312, 452, 431 i.e 1.

3. How can I use the GCD of 742, 312, 452, 431Calculator?

Out the numbers 742, 312, 452, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.