GCD of 747, 537, 525, 363 Calculator

Given Input numbers are 747, 537, 525, 363

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

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 363 :

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

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (747, 537, 525, 363) = 3.

Given numbers are 747, 537, 525, 363

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 537 are 3 x 179

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 363 are 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 747, 537, 525, 363 is 3.

Given numbers are 747, 537, 525, 363

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

Apply this formula for all numbers.

Step1:

LCM(747, 537) = 133713

GCD(747, 537) = ( 747 x 537 ) / 133713

= 747 / 537

= 747

Step2:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

Step3:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

So, Greatest Common Divisor of 747, 537, 525, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 321, 387, 494
• GCD of 205, 655, 853, 581
• GCD of 608, 284, 334, 686
• GCD of 993, 891, 858, 346
• GCD of 867, 830, 445, 646

Given numbers are 747, 537, 525, 363
The greatest common divisor of numbers 747, 537, 525, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 537, 525, 363 is 3.

1. What is the GCD of 747, 537, 525, 363?

GCD of given numbers 747, 537, 525, 363 is 3

2. How to calculate the greatest common divisor of 747, 537, 525, 363?

We can find the highest common divisor of 747, 537, 525, 363 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 747, 537, 525, 363 i.e 3.

3. How can I use the GCD of 747, 537, 525, 363Calculator?

Out the numbers 747, 537, 525, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.