GCD of 272, 209, 523, 709 Calculator

Given Input numbers are 272, 209, 523, 709

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 209 :

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

1, 11, 19, 209

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (272, 209, 523, 709) = 1.

Given numbers are 272, 209, 523, 709

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 209 are 11 x 19

Prime factors of 523 are 523

Prime factors of 709 are 709

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

Given numbers are 272, 209, 523, 709

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

Apply this formula for all numbers.

Step1:

LCM(272, 209) = 56848

GCD(272, 209) = ( 272 x 209 ) / 56848

= 272 / 209

= 272

Step2:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 272, 209, 523, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 556, 669, 138
• GCD of 641, 981, 882, 242
• GCD of 725, 649, 191, 234
• GCD of 859, 982, 211, 764
• GCD of 705, 525, 264, 364

Given numbers are 272, 209, 523, 709
The greatest common divisor of numbers 272, 209, 523, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 209, 523, 709 is 1.

1. What is the GCD of 272, 209, 523, 709?

GCD of given numbers 272, 209, 523, 709 is 1

2. How to calculate the greatest common divisor of 272, 209, 523, 709?

We can find the highest common divisor of 272, 209, 523, 709 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 272, 209, 523, 709 i.e 1.

3. How can I use the GCD of 272, 209, 523, 709Calculator?

Out the numbers 272, 209, 523, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.