GCD of 386, 400, 688, 109 Calculator

Given Input numbers are 386, 400, 688, 109

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

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (386, 400, 688, 109) = 1.

Given numbers are 386, 400, 688, 109

The list of prime factors of all numbers are

Prime factors of 386 are 2 x 193

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 109 are 109

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

Given numbers are 386, 400, 688, 109

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

Apply this formula for all numbers.

Step1:

LCM(386, 400) = 77200

GCD(386, 400) = ( 386 x 400 ) / 77200

= 386 / 400

= 386

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 109) = 218

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

= 2 / 109

= 2

So, Greatest Common Divisor of 386, 400, 688, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 192, 535, 452
• GCD of 491, 156, 943, 951
• GCD of 104, 258, 153, 953
• GCD of 458, 540, 721, 738
• GCD of 284, 325, 180, 459

Given numbers are 386, 400, 688, 109
The greatest common divisor of numbers 386, 400, 688, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 400, 688, 109 is 1.

1. What is the GCD of 386, 400, 688, 109?

GCD of given numbers 386, 400, 688, 109 is 1

2. How to calculate the greatest common divisor of 386, 400, 688, 109?

We can find the highest common divisor of 386, 400, 688, 109 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 386, 400, 688, 109 i.e 1.

3. How can I use the GCD of 386, 400, 688, 109Calculator?

Out the numbers 386, 400, 688, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.