GCD of 309, 427, 532, 741 Calculator

Given Input numbers are 309, 427, 532, 741

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (309, 427, 532, 741) = 1.

Given numbers are 309, 427, 532, 741

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 427 are 7 x 61

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 309, 427, 532, 741

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

Apply this formula for all numbers.

Step1:

LCM(309, 427) = 131943

GCD(309, 427) = ( 309 x 427 ) / 131943

= 309 / 427

= 309

Step2:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1

Step3:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

So, Greatest Common Divisor of 309, 427, 532, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 237, 485, 586
• GCD of 980, 561, 196, 869
• GCD of 261, 190, 635, 624
• GCD of 714, 876, 806, 954
• GCD of 860, 469, 903, 625

Given numbers are 309, 427, 532, 741
The greatest common divisor of numbers 309, 427, 532, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 427, 532, 741 is 1.

1. What is the GCD of 309, 427, 532, 741?

GCD of given numbers 309, 427, 532, 741 is 1

2. How to calculate the greatest common divisor of 309, 427, 532, 741?

We can find the highest common divisor of 309, 427, 532, 741 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 309, 427, 532, 741 i.e 1.

3. How can I use the GCD of 309, 427, 532, 741Calculator?

Out the numbers 309, 427, 532, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.