GCD of 688, 440, 100, 804 Calculator

Given Input numbers are 688, 440, 100, 804

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 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (688, 440, 100, 804) = 4.

Given numbers are 688, 440, 100, 804

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 440 are 2 x 2 x 2 x 5 x 11

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

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2²

Therefore, GCD of 688, 440, 100, 804 is 4.

Given numbers are 688, 440, 100, 804

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

Apply this formula for all numbers.

Step1:

LCM(688, 440) = 37840

GCD(688, 440) = ( 688 x 440 ) / 37840

= 688 / 440

= 688

Step2:

LCM(8, 100) = 200

GCD(8, 100) = ( 8 x 100 ) / 200

= 8 / 100

= 8

Step3:

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

= 4 / 804

= 4

So, Greatest Common Divisor of 688, 440, 100, 804 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 454, 255, 259
• GCD of 584, 422, 503, 553
• GCD of 683, 661, 528, 207
• GCD of 693, 325, 298, 418
• GCD of 203, 891, 880, 419

Given numbers are 688, 440, 100, 804
The greatest common divisor of numbers 688, 440, 100, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 440, 100, 804 is 4.

1. What is the GCD of 688, 440, 100, 804?

GCD of given numbers 688, 440, 100, 804 is 4

2. How to calculate the greatest common divisor of 688, 440, 100, 804?

We can find the highest common divisor of 688, 440, 100, 804 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, 440, 100, 804 i.e 4.

3. How can I use the GCD of 688, 440, 100, 804Calculator?

Out the numbers 688, 440, 100, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.