GCD of 753, 609, 721, 378 Calculator

Given Input numbers are 753, 609, 721, 378

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (753, 609, 721, 378) = 1.

Given numbers are 753, 609, 721, 378

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 609 are 3 x 7 x 29

Prime factors of 721 are 7 x 103

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Given numbers are 753, 609, 721, 378

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

Apply this formula for all numbers.

Step1:

LCM(753, 609) = 152859

GCD(753, 609) = ( 753 x 609 ) / 152859

= 753 / 609

= 753

Step2:

LCM(3, 721) = 2163

GCD(3, 721) = ( 3 x 721 ) / 2163

= 3 / 721

= 3

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 753, 609, 721, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 685, 309, 114
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Given numbers are 753, 609, 721, 378
The greatest common divisor of numbers 753, 609, 721, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 609, 721, 378 is 1.

1. What is the GCD of 753, 609, 721, 378?

GCD of given numbers 753, 609, 721, 378 is 1

2. How to calculate the greatest common divisor of 753, 609, 721, 378?

We can find the highest common divisor of 753, 609, 721, 378 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, 609, 721, 378 i.e 1.

3. How can I use the GCD of 753, 609, 721, 378Calculator?

Out the numbers 753, 609, 721, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.