GCD of 741, 742, 116, 459 Calculator

Given Input numbers are 741, 742, 116, 459

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

Divisors of 741 :

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

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

Divisors of 742 :

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

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (741, 742, 116, 459) = 1.

Given numbers are 741, 742, 116, 459

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 742 are 2 x 7 x 53

Prime factors of 116 are 2 x 2 x 29

Prime factors of 459 are 3 x 3 x 3 x 17

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

Given numbers are 741, 742, 116, 459

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

Apply this formula for all numbers.

Step1:

LCM(741, 742) = 549822

GCD(741, 742) = ( 741 x 742 ) / 549822

= 741 / 742

= 741

Step2:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

Step3:

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

= 1 / 459

= 1

So, Greatest Common Divisor of 741, 742, 116, 459 is 1

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Given numbers are 741, 742, 116, 459
The greatest common divisor of numbers 741, 742, 116, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 742, 116, 459 is 1.

1. What is the GCD of 741, 742, 116, 459?

GCD of given numbers 741, 742, 116, 459 is 1

2. How to calculate the greatest common divisor of 741, 742, 116, 459?

We can find the highest common divisor of 741, 742, 116, 459 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 741, 742, 116, 459 i.e 1.

3. How can I use the GCD of 741, 742, 116, 459Calculator?

Out the numbers 741, 742, 116, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.