GCD of 409, 748, 721 Calculator

Given Input numbers are 409, 748, 721

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

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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 (409, 748, 721) = 1.

Given numbers are 409, 748, 721

The list of prime factors of all numbers are

Prime factors of 409 are 409

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 409, 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(409, 748) = 305932

GCD(409, 748) = ( 409 x 748 ) / 305932

= 409 / 748

= 409

Step2:

LCM(1, 721) = 721

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

= 1 / 721

= 1

So, Greatest Common Divisor of 409, 748, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 182, 375
• GCD of 597, 481, 199
• GCD of 773, 597, 167
• GCD of 863, 303, 646
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Given numbers are 409, 748, 721
The greatest common divisor of numbers 409, 748, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 409, 748, 721 is 1.

1. What is the GCD of 409, 748, 721?

GCD of given numbers 409, 748, 721 is 1

2. How to calculate the greatest common divisor of 409, 748, 721?

We can find the highest common divisor of 409, 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 409, 748, 721 i.e 1.

3. How can I use the GCD of 409, 748, 721Calculator?

Out the numbers 409, 748, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.