GCD of 291, 400, 828, 382 Calculator

Given Input numbers are 291, 400, 828, 382

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (291, 400, 828, 382) = 1.

Given numbers are 291, 400, 828, 382

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 382 are 2 x 191

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

Given numbers are 291, 400, 828, 382

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

Apply this formula for all numbers.

Step1:

LCM(291, 400) = 116400

GCD(291, 400) = ( 291 x 400 ) / 116400

= 291 / 400

= 291

Step2:

LCM(1, 828) = 828

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

= 1 / 828

= 1

Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

So, Greatest Common Divisor of 291, 400, 828, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 291, 992, 652
• GCD of 982, 943, 175, 502
• GCD of 155, 202, 705, 688
• GCD of 191, 381, 577, 429
• GCD of 248, 898, 693, 680

Given numbers are 291, 400, 828, 382
The greatest common divisor of numbers 291, 400, 828, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 400, 828, 382 is 1.

1. What is the GCD of 291, 400, 828, 382?

GCD of given numbers 291, 400, 828, 382 is 1

2. How to calculate the greatest common divisor of 291, 400, 828, 382?

We can find the highest common divisor of 291, 400, 828, 382 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 291, 400, 828, 382 i.e 1.

3. How can I use the GCD of 291, 400, 828, 382Calculator?

Out the numbers 291, 400, 828, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.