GCD of 753, 438, 990, 272 Calculator

Given Input numbers are 753, 438, 990, 272

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (753, 438, 990, 272) = 1.

Given numbers are 753, 438, 990, 272

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 438 are 2 x 3 x 73

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Given numbers are 753, 438, 990, 272

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

Apply this formula for all numbers.

Step1:

LCM(753, 438) = 109938

GCD(753, 438) = ( 753 x 438 ) / 109938

= 753 / 438

= 753

Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

Step3:

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

= 3 / 272

= 3

So, Greatest Common Divisor of 753, 438, 990, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 794, 363, 976
• GCD of 357, 895, 852, 794
• GCD of 858, 699, 623, 489
• GCD of 611, 635, 547, 102
• GCD of 771, 752, 838, 291

Given numbers are 753, 438, 990, 272
The greatest common divisor of numbers 753, 438, 990, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 438, 990, 272 is 1.

1. What is the GCD of 753, 438, 990, 272?

GCD of given numbers 753, 438, 990, 272 is 1

2. How to calculate the greatest common divisor of 753, 438, 990, 272?

We can find the highest common divisor of 753, 438, 990, 272 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 753, 438, 990, 272 i.e 1.

3. How can I use the GCD of 753, 438, 990, 272Calculator?

Out the numbers 753, 438, 990, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.