GCD of 409, 338, 296, 680 Calculator

Given Input numbers are 409, 338, 296, 680

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (409, 338, 296, 680) = 1.

Given numbers are 409, 338, 296, 680

The list of prime factors of all numbers are

Prime factors of 409 are 409

Prime factors of 338 are 2 x 13 x 13

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 409, 338, 296, 680

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

Apply this formula for all numbers.

Step1:

LCM(409, 338) = 138242

GCD(409, 338) = ( 409 x 338 ) / 138242

= 409 / 338

= 409

Step2:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 409, 338, 296, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 723, 961, 911
• GCD of 690, 163, 983, 839
• GCD of 577, 399, 303, 602
• GCD of 480, 533, 340, 331
• GCD of 517, 537, 196, 347

Given numbers are 409, 338, 296, 680
The greatest common divisor of numbers 409, 338, 296, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 409, 338, 296, 680 is 1.

1. What is the GCD of 409, 338, 296, 680?

GCD of given numbers 409, 338, 296, 680 is 1

2. How to calculate the greatest common divisor of 409, 338, 296, 680?

We can find the highest common divisor of 409, 338, 296, 680 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, 338, 296, 680 i.e 1.

3. How can I use the GCD of 409, 338, 296, 680Calculator?

Out the numbers 409, 338, 296, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.