GCD of 741, 471, 723, 496 Calculator

Given Input numbers are 741, 471, 723, 496

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (741, 471, 723, 496) = 1.

Given numbers are 741, 471, 723, 496

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 471 are 3 x 157

Prime factors of 723 are 3 x 241

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 741, 471, 723, 496

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

Apply this formula for all numbers.

Step1:

LCM(741, 471) = 116337

GCD(741, 471) = ( 741 x 471 ) / 116337

= 741 / 471

= 741

Step2:

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

= 3 / 723

= 3

Step3:

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

= 3 / 496

= 3

So, Greatest Common Divisor of 741, 471, 723, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 684, 179, 481
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• GCD of 181, 253, 188, 769
• GCD of 172, 323, 786, 116
• GCD of 253, 613, 739, 817

Given numbers are 741, 471, 723, 496
The greatest common divisor of numbers 741, 471, 723, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 471, 723, 496 is 1.

1. What is the GCD of 741, 471, 723, 496?

GCD of given numbers 741, 471, 723, 496 is 1

2. How to calculate the greatest common divisor of 741, 471, 723, 496?

We can find the highest common divisor of 741, 471, 723, 496 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, 471, 723, 496 i.e 1.

3. How can I use the GCD of 741, 471, 723, 496Calculator?

Out the numbers 741, 471, 723, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.