GCD of 400, 460, 141, 821 Calculator

Given Input numbers are 400, 460, 141, 821

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

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 821 :

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

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (400, 460, 141, 821) = 1.

Given numbers are 400, 460, 141, 821

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 141 are 3 x 47

Prime factors of 821 are 821

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

Given numbers are 400, 460, 141, 821

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

Apply this formula for all numbers.

Step1:

LCM(400, 460) = 9200

GCD(400, 460) = ( 400 x 460 ) / 9200

= 400 / 460

= 400

Step2:

LCM(20, 141) = 2820

GCD(20, 141) = ( 20 x 141 ) / 2820

= 20 / 141

= 20

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 400, 460, 141, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 107, 740, 406
• GCD of 155, 447, 778, 879
• GCD of 336, 319, 402, 371
• GCD of 876, 470, 343, 803
• GCD of 707, 867, 798, 305

Given numbers are 400, 460, 141, 821
The greatest common divisor of numbers 400, 460, 141, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 460, 141, 821 is 1.

1. What is the GCD of 400, 460, 141, 821?

GCD of given numbers 400, 460, 141, 821 is 1

2. How to calculate the greatest common divisor of 400, 460, 141, 821?

We can find the highest common divisor of 400, 460, 141, 821 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 400, 460, 141, 821 i.e 1.

3. How can I use the GCD of 400, 460, 141, 821Calculator?

Out the numbers 400, 460, 141, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.