GCD of 100, 664, 828, 424 Calculator

Given Input numbers are 100, 664, 828, 424

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (100, 664, 828, 424) = 4.

Given numbers are 100, 664, 828, 424

The list of prime factors of all numbers are

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

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 100, 664, 828, 424 is 4.

Given numbers are 100, 664, 828, 424

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

Apply this formula for all numbers.

Step1:

LCM(100, 664) = 16600

GCD(100, 664) = ( 100 x 664 ) / 16600

= 100 / 664

= 100

Step2:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

Step3:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

So, Greatest Common Divisor of 100, 664, 828, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 340, 323, 114
• GCD of 594, 772, 705, 178
• GCD of 947, 567, 848, 640
• GCD of 244, 730, 598, 573
• GCD of 657, 892, 714, 815

Given numbers are 100, 664, 828, 424
The greatest common divisor of numbers 100, 664, 828, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 664, 828, 424 is 4.

1. What is the GCD of 100, 664, 828, 424?

GCD of given numbers 100, 664, 828, 424 is 4

2. How to calculate the greatest common divisor of 100, 664, 828, 424?

We can find the highest common divisor of 100, 664, 828, 424 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, 664, 828, 424 i.e 4.

3. How can I use the GCD of 100, 664, 828, 424Calculator?

Out the numbers 100, 664, 828, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.