GCD of 209, 308, 723, 140 Calculator

Given Input numbers are 209, 308, 723, 140

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (209, 308, 723, 140) = 1.

Given numbers are 209, 308, 723, 140

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 723 are 3 x 241

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 209, 308, 723, 140

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

Apply this formula for all numbers.

Step1:

LCM(209, 308) = 5852

GCD(209, 308) = ( 209 x 308 ) / 5852

= 209 / 308

= 209

Step2:

LCM(11, 723) = 7953

GCD(11, 723) = ( 11 x 723 ) / 7953

= 11 / 723

= 11

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 209, 308, 723, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 981, 455, 435
• GCD of 194, 750, 287, 595
• GCD of 707, 320, 876, 853
• GCD of 137, 584, 990, 292
• GCD of 457, 115, 703, 147

Given numbers are 209, 308, 723, 140
The greatest common divisor of numbers 209, 308, 723, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 308, 723, 140 is 1.

1. What is the GCD of 209, 308, 723, 140?

GCD of given numbers 209, 308, 723, 140 is 1

2. How to calculate the greatest common divisor of 209, 308, 723, 140?

We can find the highest common divisor of 209, 308, 723, 140 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 209, 308, 723, 140 i.e 1.

3. How can I use the GCD of 209, 308, 723, 140Calculator?

Out the numbers 209, 308, 723, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.