GCD of 821, 400, 296, 352 Calculator

Given Input numbers are 821, 400, 296, 352

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (821, 400, 296, 352) = 1.

Given numbers are 821, 400, 296, 352

The list of prime factors of all numbers are

Prime factors of 821 are 821

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

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 821, 400, 296, 352

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

Apply this formula for all numbers.

Step1:

LCM(821, 400) = 328400

GCD(821, 400) = ( 821 x 400 ) / 328400

= 821 / 400

= 821

Step2:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

Step3:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1

So, Greatest Common Divisor of 821, 400, 296, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 688, 296, 455
• GCD of 257, 496, 987, 749
• GCD of 378, 366, 605, 362
• GCD of 585, 926, 789, 900
• GCD of 572, 183, 157, 480

Given numbers are 821, 400, 296, 352
The greatest common divisor of numbers 821, 400, 296, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 400, 296, 352 is 1.

1. What is the GCD of 821, 400, 296, 352?

GCD of given numbers 821, 400, 296, 352 is 1

2. How to calculate the greatest common divisor of 821, 400, 296, 352?

We can find the highest common divisor of 821, 400, 296, 352 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 821, 400, 296, 352 i.e 1.

3. How can I use the GCD of 821, 400, 296, 352Calculator?

Out the numbers 821, 400, 296, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.