GCD of 496, 523, 655, 747 Calculator

Given Input numbers are 496, 523, 655, 747

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

Divisors of 496 :

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

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

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (496, 523, 655, 747) = 1.

Given numbers are 496, 523, 655, 747

The list of prime factors of all numbers are

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

Prime factors of 523 are 523

Prime factors of 655 are 5 x 131

Prime factors of 747 are 3 x 3 x 83

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

Given numbers are 496, 523, 655, 747

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

Apply this formula for all numbers.

Step1:

LCM(496, 523) = 259408

GCD(496, 523) = ( 496 x 523 ) / 259408

= 496 / 523

= 496

Step2:

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

= 1 / 655

= 1

Step3:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

So, Greatest Common Divisor of 496, 523, 655, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 861, 482, 817
• GCD of 958, 233, 908, 649
• GCD of 104, 870, 516, 605
• GCD of 149, 398, 570, 822
• GCD of 612, 972, 729, 536

Given numbers are 496, 523, 655, 747
The greatest common divisor of numbers 496, 523, 655, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 523, 655, 747 is 1.

1. What is the GCD of 496, 523, 655, 747?

GCD of given numbers 496, 523, 655, 747 is 1

2. How to calculate the greatest common divisor of 496, 523, 655, 747?

We can find the highest common divisor of 496, 523, 655, 747 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 496, 523, 655, 747 i.e 1.

3. How can I use the GCD of 496, 523, 655, 747Calculator?

Out the numbers 496, 523, 655, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.