GCD of 338, 245, 689, 314 Calculator

Given Input numbers are 338, 245, 689, 314

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (338, 245, 689, 314) = 1.

Given numbers are 338, 245, 689, 314

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 245 are 5 x 7 x 7

Prime factors of 689 are 13 x 53

Prime factors of 314 are 2 x 157

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

Given numbers are 338, 245, 689, 314

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

Apply this formula for all numbers.

Step1:

LCM(338, 245) = 82810

GCD(338, 245) = ( 338 x 245 ) / 82810

= 338 / 245

= 338

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 338, 245, 689, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 167, 839, 251
• GCD of 779, 138, 336, 211
• GCD of 480, 357, 162, 442
• GCD of 174, 886, 603, 206
• GCD of 502, 912, 794, 845

Given numbers are 338, 245, 689, 314
The greatest common divisor of numbers 338, 245, 689, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 245, 689, 314 is 1.

1. What is the GCD of 338, 245, 689, 314?

GCD of given numbers 338, 245, 689, 314 is 1

2. How to calculate the greatest common divisor of 338, 245, 689, 314?

We can find the highest common divisor of 338, 245, 689, 314 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 338, 245, 689, 314 i.e 1.

3. How can I use the GCD of 338, 245, 689, 314Calculator?

Out the numbers 338, 245, 689, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.