GCD of 678, 489, 338, 670 Calculator

Given Input numbers are 678, 489, 338, 670

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

GCD of numbers is the greatest common divisor

So, the GCD (678, 489, 338, 670) = 1.

Given numbers are 678, 489, 338, 670

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 489 are 3 x 163

Prime factors of 338 are 2 x 13 x 13

Prime factors of 670 are 2 x 5 x 67

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

Given numbers are 678, 489, 338, 670

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

Apply this formula for all numbers.

Step1:

LCM(678, 489) = 110514

GCD(678, 489) = ( 678 x 489 ) / 110514

= 678 / 489

= 678

Step2:

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

= 3 / 338

= 3

Step3:

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

= 1 / 670

= 1

So, Greatest Common Divisor of 678, 489, 338, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 971, 614, 265
• GCD of 542, 223, 655, 224
• GCD of 707, 456, 636, 876
• GCD of 332, 674, 608, 609
• GCD of 231, 384, 445, 468

Given numbers are 678, 489, 338, 670
The greatest common divisor of numbers 678, 489, 338, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 489, 338, 670 is 1.

1. What is the GCD of 678, 489, 338, 670?

GCD of given numbers 678, 489, 338, 670 is 1

2. How to calculate the greatest common divisor of 678, 489, 338, 670?

We can find the highest common divisor of 678, 489, 338, 670 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 678, 489, 338, 670 i.e 1.

3. How can I use the GCD of 678, 489, 338, 670Calculator?

Out the numbers 678, 489, 338, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.