GCD of 363, 996, 747, 553 Calculator

Given Input numbers are 363, 996, 747, 553

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (363, 996, 747, 553) = 1.

Given numbers are 363, 996, 747, 553

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 747 are 3 x 3 x 83

Prime factors of 553 are 7 x 79

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

Given numbers are 363, 996, 747, 553

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

Apply this formula for all numbers.

Step1:

LCM(363, 996) = 120516

GCD(363, 996) = ( 363 x 996 ) / 120516

= 363 / 996

= 363

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

= 3 / 553

= 3

So, Greatest Common Divisor of 363, 996, 747, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 755, 595, 807
• GCD of 497, 550, 409, 491
• GCD of 801, 193, 662, 271
• GCD of 567, 173, 296, 529
• GCD of 984, 289, 988, 582

Given numbers are 363, 996, 747, 553
The greatest common divisor of numbers 363, 996, 747, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 996, 747, 553 is 1.

1. What is the GCD of 363, 996, 747, 553?

GCD of given numbers 363, 996, 747, 553 is 1

2. How to calculate the greatest common divisor of 363, 996, 747, 553?

We can find the highest common divisor of 363, 996, 747, 553 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 363, 996, 747, 553 i.e 1.

3. How can I use the GCD of 363, 996, 747, 553Calculator?

Out the numbers 363, 996, 747, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.