GCD of 678, 338, 918, 207 Calculator

Given Input numbers are 678, 338, 918, 207

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 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

GCD of numbers is the greatest common divisor

So, the GCD (678, 338, 918, 207) = 1.

Given numbers are 678, 338, 918, 207

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 338 are 2 x 13 x 13

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 207 are 3 x 3 x 23

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

Given numbers are 678, 338, 918, 207

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

Apply this formula for all numbers.

Step1:

LCM(678, 338) = 114582

GCD(678, 338) = ( 678 x 338 ) / 114582

= 678 / 338

= 678

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

= 2 / 207

= 2

So, Greatest Common Divisor of 678, 338, 918, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 817, 509, 341
• GCD of 535, 147, 903, 620
• GCD of 988, 233, 578, 191
• GCD of 147, 940, 884, 134
• GCD of 967, 378, 109, 585

Given numbers are 678, 338, 918, 207
The greatest common divisor of numbers 678, 338, 918, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 338, 918, 207 is 1.

1. What is the GCD of 678, 338, 918, 207?

GCD of given numbers 678, 338, 918, 207 is 1

2. How to calculate the greatest common divisor of 678, 338, 918, 207?

We can find the highest common divisor of 678, 338, 918, 207 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, 338, 918, 207 i.e 1.

3. How can I use the GCD of 678, 338, 918, 207Calculator?

Out the numbers 678, 338, 918, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.