GCD of 753, 355, 138, 576 Calculator

Given Input numbers are 753, 355, 138, 576

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (753, 355, 138, 576) = 1.

Given numbers are 753, 355, 138, 576

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 355 are 5 x 71

Prime factors of 138 are 2 x 3 x 23

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 753, 355, 138, 576

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

Apply this formula for all numbers.

Step1:

LCM(753, 355) = 267315

GCD(753, 355) = ( 753 x 355 ) / 267315

= 753 / 355

= 753

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 753, 355, 138, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 527, 499, 282
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• GCD of 240, 378, 308, 166
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• GCD of 240, 516, 133, 810

Given numbers are 753, 355, 138, 576
The greatest common divisor of numbers 753, 355, 138, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 355, 138, 576 is 1.

1. What is the GCD of 753, 355, 138, 576?

GCD of given numbers 753, 355, 138, 576 is 1

2. How to calculate the greatest common divisor of 753, 355, 138, 576?

We can find the highest common divisor of 753, 355, 138, 576 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, 355, 138, 576 i.e 1.

3. How can I use the GCD of 753, 355, 138, 576Calculator?

Out the numbers 753, 355, 138, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.