GCD of 686, 134, 109, 206 Calculator

Given Input numbers are 686, 134, 109, 206

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (686, 134, 109, 206) = 1.

Given numbers are 686, 134, 109, 206

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 134 are 2 x 67

Prime factors of 109 are 109

Prime factors of 206 are 2 x 103

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

Given numbers are 686, 134, 109, 206

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

Apply this formula for all numbers.

Step1:

LCM(686, 134) = 45962

GCD(686, 134) = ( 686 x 134 ) / 45962

= 686 / 134

= 686

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

= 1 / 206

= 1

So, Greatest Common Divisor of 686, 134, 109, 206 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 967, 332, 770
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Given numbers are 686, 134, 109, 206
The greatest common divisor of numbers 686, 134, 109, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 134, 109, 206 is 1.

1. What is the GCD of 686, 134, 109, 206?

GCD of given numbers 686, 134, 109, 206 is 1

2. How to calculate the greatest common divisor of 686, 134, 109, 206?

We can find the highest common divisor of 686, 134, 109, 206 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 686, 134, 109, 206 i.e 1.

3. How can I use the GCD of 686, 134, 109, 206Calculator?

Out the numbers 686, 134, 109, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.