GCD of 100, 666, 68, 688 Calculator

Given Input numbers are 100, 666, 68, 688

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 688 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (100, 666, 68, 688) = 2.

Given numbers are 100, 666, 68, 688

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 68 are 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 100, 666, 68, 688 is 2.

Given numbers are 100, 666, 68, 688

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

Apply this formula for all numbers.

Step1:

LCM(100, 666) = 33300

GCD(100, 666) = ( 100 x 666 ) / 33300

= 100 / 666

= 100

Step2:

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

= 2 / 68

= 2

Step3:

LCM(2, 688) = 688

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

= 2 / 688

= 2

So, Greatest Common Divisor of 100, 666, 68, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 357, 81, 236
• GCD of 869, 634, 88, 801
• GCD of 558, 407, 42, 819
• GCD of 342, 338, 97, 851
• GCD of 983, 135, 13, 950

Given numbers are 100, 666, 68, 688
The greatest common divisor of numbers 100, 666, 68, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 666, 68, 688 is 2.

1. What is the GCD of 100, 666, 68, 688?

GCD of given numbers 100, 666, 68, 688 is 2

2. How to calculate the greatest common divisor of 100, 666, 68, 688?

We can find the highest common divisor of 100, 666, 68, 688 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 100, 666, 68, 688 i.e 2.

3. How can I use the GCD of 100, 666, 68, 688Calculator?

Out the numbers 100, 666, 68, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.