GCD of 678, 609, 691, 308 Calculator

Given Input numbers are 678, 609, 691, 308

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (678, 609, 691, 308) = 1.

Given numbers are 678, 609, 691, 308

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 609 are 3 x 7 x 29

Prime factors of 691 are 691

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 678, 609, 691, 308

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

Apply this formula for all numbers.

Step1:

LCM(678, 609) = 137634

GCD(678, 609) = ( 678 x 609 ) / 137634

= 678 / 609

= 678

Step2:

LCM(3, 691) = 2073

GCD(3, 691) = ( 3 x 691 ) / 2073

= 3 / 691

= 3

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 678, 609, 691, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 274, 794, 313
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• GCD of 608, 999, 590, 114
• GCD of 844, 803, 213, 645

Given numbers are 678, 609, 691, 308
The greatest common divisor of numbers 678, 609, 691, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 609, 691, 308 is 1.

1. What is the GCD of 678, 609, 691, 308?

GCD of given numbers 678, 609, 691, 308 is 1

2. How to calculate the greatest common divisor of 678, 609, 691, 308?

We can find the highest common divisor of 678, 609, 691, 308 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, 609, 691, 308 i.e 1.

3. How can I use the GCD of 678, 609, 691, 308Calculator?

Out the numbers 678, 609, 691, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.