GCD of 107, 688, 165, 164 Calculator

Given Input numbers are 107, 688, 165, 164

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (107, 688, 165, 164) = 1.

Given numbers are 107, 688, 165, 164

The list of prime factors of all numbers are

Prime factors of 107 are 107

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

Prime factors of 165 are 3 x 5 x 11

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 107, 688, 165, 164

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

Apply this formula for all numbers.

Step1:

LCM(107, 688) = 73616

GCD(107, 688) = ( 107 x 688 ) / 73616

= 107 / 688

= 107

Step2:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 107, 688, 165, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 764, 267, 209
• GCD of 849, 345, 393, 651
• GCD of 209, 141, 651, 567
• GCD of 560, 344, 648, 871
• GCD of 445, 516, 831, 399

Given numbers are 107, 688, 165, 164
The greatest common divisor of numbers 107, 688, 165, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 688, 165, 164 is 1.

1. What is the GCD of 107, 688, 165, 164?

GCD of given numbers 107, 688, 165, 164 is 1

2. How to calculate the greatest common divisor of 107, 688, 165, 164?

We can find the highest common divisor of 107, 688, 165, 164 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 107, 688, 165, 164 i.e 1.

3. How can I use the GCD of 107, 688, 165, 164Calculator?

Out the numbers 107, 688, 165, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.