GCD of 108, 706, 709, 341 Calculator

Given Input numbers are 108, 706, 709, 341

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

GCD of numbers is the greatest common divisor

So, the GCD (108, 706, 709, 341) = 1.

Given numbers are 108, 706, 709, 341

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 706 are 2 x 353

Prime factors of 709 are 709

Prime factors of 341 are 11 x 31

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

Given numbers are 108, 706, 709, 341

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

Apply this formula for all numbers.

Step1:

LCM(108, 706) = 38124

GCD(108, 706) = ( 108 x 706 ) / 38124

= 108 / 706

= 108

Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

Step3:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1

So, Greatest Common Divisor of 108, 706, 709, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 833, 746, 738
• GCD of 762, 198, 834, 605
• GCD of 469, 773, 584, 160
• GCD of 141, 365, 900, 846
• GCD of 966, 931, 142, 439

Given numbers are 108, 706, 709, 341
The greatest common divisor of numbers 108, 706, 709, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 706, 709, 341 is 1.

1. What is the GCD of 108, 706, 709, 341?

GCD of given numbers 108, 706, 709, 341 is 1

2. How to calculate the greatest common divisor of 108, 706, 709, 341?

We can find the highest common divisor of 108, 706, 709, 341 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 108, 706, 709, 341 i.e 1.

3. How can I use the GCD of 108, 706, 709, 341Calculator?

Out the numbers 108, 706, 709, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.