GCD of 792, 744, 100, 688 Calculator

Given Input numbers are 792, 744, 100, 688

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 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 (792, 744, 100, 688) = 4.

Given numbers are 792, 744, 100, 688

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

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

The highest common occurrence is 2²

Therefore, GCD of 792, 744, 100, 688 is 4.

Given numbers are 792, 744, 100, 688

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

Apply this formula for all numbers.

Step1:

LCM(792, 744) = 24552

GCD(792, 744) = ( 792 x 744 ) / 24552

= 792 / 744

= 792

Step2:

LCM(24, 100) = 600

GCD(24, 100) = ( 24 x 100 ) / 600

= 24 / 100

= 24

Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

So, Greatest Common Divisor of 792, 744, 100, 688 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 961, 331, 891
• GCD of 903, 633, 781, 972
• GCD of 643, 250, 126, 426
• GCD of 111, 458, 677, 552
• GCD of 243, 174, 286, 402

Given numbers are 792, 744, 100, 688
The greatest common divisor of numbers 792, 744, 100, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 744, 100, 688 is 4.

1. What is the GCD of 792, 744, 100, 688?

GCD of given numbers 792, 744, 100, 688 is 4

2. How to calculate the greatest common divisor of 792, 744, 100, 688?

We can find the highest common divisor of 792, 744, 100, 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 792, 744, 100, 688 i.e 4.

3. How can I use the GCD of 792, 744, 100, 688Calculator?

Out the numbers 792, 744, 100, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.