GCD of 340, 169, 214, 682 Calculator

Given Input numbers are 340, 169, 214, 682

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (340, 169, 214, 682) = 1.

Given numbers are 340, 169, 214, 682

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 169 are 13 x 13

Prime factors of 214 are 2 x 107

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 340, 169, 214, 682

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

Apply this formula for all numbers.

Step1:

LCM(340, 169) = 57460

GCD(340, 169) = ( 340 x 169 ) / 57460

= 340 / 169

= 340

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 340, 169, 214, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 767, 301, 669
• GCD of 218, 286, 373, 382
• GCD of 332, 235, 209, 860
• GCD of 589, 217, 445, 644
• GCD of 361, 558, 738, 107

Given numbers are 340, 169, 214, 682
The greatest common divisor of numbers 340, 169, 214, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 169, 214, 682 is 1.

1. What is the GCD of 340, 169, 214, 682?

GCD of given numbers 340, 169, 214, 682 is 1

2. How to calculate the greatest common divisor of 340, 169, 214, 682?

We can find the highest common divisor of 340, 169, 214, 682 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 340, 169, 214, 682 i.e 1.

3. How can I use the GCD of 340, 169, 214, 682Calculator?

Out the numbers 340, 169, 214, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.