GCD of 209, 491, 748, 721 Calculator

Given Input numbers are 209, 491, 748, 721

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 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 721 :

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

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (209, 491, 748, 721) = 1.

Given numbers are 209, 491, 748, 721

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 491 are 491

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 721 are 7 x 103

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

Given numbers are 209, 491, 748, 721

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

Apply this formula for all numbers.

Step1:

LCM(209, 491) = 102619

GCD(209, 491) = ( 209 x 491 ) / 102619

= 209 / 491

= 209

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 209, 491, 748, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 142, 694, 926
• GCD of 343, 619, 890, 817
• GCD of 239, 614, 646, 170
• GCD of 486, 457, 917, 938
• GCD of 994, 960, 995, 233

Given numbers are 209, 491, 748, 721
The greatest common divisor of numbers 209, 491, 748, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 491, 748, 721 is 1.

1. What is the GCD of 209, 491, 748, 721?

GCD of given numbers 209, 491, 748, 721 is 1

2. How to calculate the greatest common divisor of 209, 491, 748, 721?

We can find the highest common divisor of 209, 491, 748, 721 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, 491, 748, 721 i.e 1.

3. How can I use the GCD of 209, 491, 748, 721Calculator?

Out the numbers 209, 491, 748, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.