GCD of 100, 247, 144, 828 Calculator

Given Input numbers are 100, 247, 144, 828

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 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

GCD of numbers is the greatest common divisor

So, the GCD (100, 247, 144, 828) = 1.

Given numbers are 100, 247, 144, 828

The list of prime factors of all numbers are

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

Prime factors of 247 are 13 x 19

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

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

Given numbers are 100, 247, 144, 828

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

Apply this formula for all numbers.

Step1:

LCM(100, 247) = 24700

GCD(100, 247) = ( 100 x 247 ) / 24700

= 100 / 247

= 100

Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 100, 247, 144, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 858, 348, 457
• GCD of 695, 424, 414, 182
• GCD of 703, 422, 249, 264
• GCD of 747, 602, 876, 570
• GCD of 389, 855, 918, 246

Given numbers are 100, 247, 144, 828
The greatest common divisor of numbers 100, 247, 144, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 247, 144, 828 is 1.

1. What is the GCD of 100, 247, 144, 828?

GCD of given numbers 100, 247, 144, 828 is 1

2. How to calculate the greatest common divisor of 100, 247, 144, 828?

We can find the highest common divisor of 100, 247, 144, 828 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, 247, 144, 828 i.e 1.

3. How can I use the GCD of 100, 247, 144, 828Calculator?

Out the numbers 100, 247, 144, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.