GCD of 723, 712, 189, 285 Calculator

Given Input numbers are 723, 712, 189, 285

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

GCD of numbers is the greatest common divisor

So, the GCD (723, 712, 189, 285) = 1.

Given numbers are 723, 712, 189, 285

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 285 are 3 x 5 x 19

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

Given numbers are 723, 712, 189, 285

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

Apply this formula for all numbers.

Step1:

LCM(723, 712) = 514776

GCD(723, 712) = ( 723 x 712 ) / 514776

= 723 / 712

= 723

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

= 1 / 285

= 1

So, Greatest Common Divisor of 723, 712, 189, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 446, 654, 424
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• GCD of 617, 393, 791, 701
• GCD of 363, 252, 529, 732
• GCD of 858, 818, 837, 693

Given numbers are 723, 712, 189, 285
The greatest common divisor of numbers 723, 712, 189, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 712, 189, 285 is 1.

1. What is the GCD of 723, 712, 189, 285?

GCD of given numbers 723, 712, 189, 285 is 1

2. How to calculate the greatest common divisor of 723, 712, 189, 285?

We can find the highest common divisor of 723, 712, 189, 285 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 723, 712, 189, 285 i.e 1.

3. How can I use the GCD of 723, 712, 189, 285Calculator?

Out the numbers 723, 712, 189, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.