GCD of 747, 240, 363, 132 Calculator

Given Input numbers are 747, 240, 363, 132

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 363 :

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

1, 3, 11, 33, 121, 363

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (747, 240, 363, 132) = 3.

Given numbers are 747, 240, 363, 132

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 363 are 3 x 11 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 747, 240, 363, 132 is 3.

Given numbers are 747, 240, 363, 132

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

Apply this formula for all numbers.

Step1:

LCM(747, 240) = 59760

GCD(747, 240) = ( 747 x 240 ) / 59760

= 747 / 240

= 747

Step2:

LCM(3, 363) = 363

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

= 3 / 363

= 3

Step3:

LCM(3, 132) = 132

GCD(3, 132) = ( 3 x 132 ) / 132

= 3 / 132

= 3

So, Greatest Common Divisor of 747, 240, 363, 132 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 997, 831, 373
• GCD of 631, 780, 932, 450
• GCD of 161, 226, 384, 467
• GCD of 797, 572, 678, 721
• GCD of 940, 478, 690, 716

Given numbers are 747, 240, 363, 132
The greatest common divisor of numbers 747, 240, 363, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 240, 363, 132 is 3.

1. What is the GCD of 747, 240, 363, 132?

GCD of given numbers 747, 240, 363, 132 is 3

2. How to calculate the greatest common divisor of 747, 240, 363, 132?

We can find the highest common divisor of 747, 240, 363, 132 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, 240, 363, 132 i.e 3.

3. How can I use the GCD of 747, 240, 363, 132Calculator?

Out the numbers 747, 240, 363, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.