GCD of 688, 109, 318, 914 Calculator

Given Input numbers are 688, 109, 318, 914

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

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (688, 109, 318, 914) = 1.

Given numbers are 688, 109, 318, 914

The list of prime factors of all numbers are

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

Prime factors of 109 are 109

Prime factors of 318 are 2 x 3 x 53

Prime factors of 914 are 2 x 457

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

Given numbers are 688, 109, 318, 914

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

Apply this formula for all numbers.

Step1:

LCM(688, 109) = 74992

GCD(688, 109) = ( 688 x 109 ) / 74992

= 688 / 109

= 688

Step2:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 688, 109, 318, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 125, 124, 748
• GCD of 109, 121, 295, 987
• GCD of 789, 282, 538, 657
• GCD of 496, 130, 492, 165
• GCD of 993, 859, 558, 220

Given numbers are 688, 109, 318, 914
The greatest common divisor of numbers 688, 109, 318, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 109, 318, 914 is 1.

1. What is the GCD of 688, 109, 318, 914?

GCD of given numbers 688, 109, 318, 914 is 1

2. How to calculate the greatest common divisor of 688, 109, 318, 914?

We can find the highest common divisor of 688, 109, 318, 914 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 688, 109, 318, 914 i.e 1.

3. How can I use the GCD of 688, 109, 318, 914Calculator?

Out the numbers 688, 109, 318, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.