GCD of 828, 131, 100, 427 Calculator

Given Input numbers are 828, 131, 100, 427

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

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 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

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 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (828, 131, 100, 427) = 1.

Given numbers are 828, 131, 100, 427

The list of prime factors of all numbers are

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

Prime factors of 131 are 131

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

Prime factors of 427 are 7 x 61

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

Given numbers are 828, 131, 100, 427

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

Apply this formula for all numbers.

Step1:

LCM(828, 131) = 108468

GCD(828, 131) = ( 828 x 131 ) / 108468

= 828 / 131

= 828

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

So, Greatest Common Divisor of 828, 131, 100, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 243, 831, 393
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• GCD of 741, 352, 804, 784
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• GCD of 879, 347, 446, 874

Given numbers are 828, 131, 100, 427
The greatest common divisor of numbers 828, 131, 100, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 131, 100, 427 is 1.

1. What is the GCD of 828, 131, 100, 427?

GCD of given numbers 828, 131, 100, 427 is 1

2. How to calculate the greatest common divisor of 828, 131, 100, 427?

We can find the highest common divisor of 828, 131, 100, 427 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 828, 131, 100, 427 i.e 1.

3. How can I use the GCD of 828, 131, 100, 427Calculator?

Out the numbers 828, 131, 100, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.