GCD of 199, 469, 723, 142 Calculator

Given Input numbers are 199, 469, 723, 142

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (199, 469, 723, 142) = 1.

Given numbers are 199, 469, 723, 142

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 469 are 7 x 67

Prime factors of 723 are 3 x 241

Prime factors of 142 are 2 x 71

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

Given numbers are 199, 469, 723, 142

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

Apply this formula for all numbers.

Step1:

LCM(199, 469) = 93331

GCD(199, 469) = ( 199 x 469 ) / 93331

= 199 / 469

= 199

Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 199, 469, 723, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 166, 428, 506
• GCD of 300, 501, 815, 150
• GCD of 794, 755, 115, 769
• GCD of 532, 158, 378, 683
• GCD of 568, 319, 399, 852

Given numbers are 199, 469, 723, 142
The greatest common divisor of numbers 199, 469, 723, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 469, 723, 142 is 1.

1. What is the GCD of 199, 469, 723, 142?

GCD of given numbers 199, 469, 723, 142 is 1

2. How to calculate the greatest common divisor of 199, 469, 723, 142?

We can find the highest common divisor of 199, 469, 723, 142 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 199, 469, 723, 142 i.e 1.

3. How can I use the GCD of 199, 469, 723, 142Calculator?

Out the numbers 199, 469, 723, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.