GCD of 221, 380, 140, 400 Calculator

Given Input numbers are 221, 380, 140, 400

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

GCD of numbers is the greatest common divisor

So, the GCD (221, 380, 140, 400) = 1.

Given numbers are 221, 380, 140, 400

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 140 are 2 x 2 x 5 x 7

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

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

Given numbers are 221, 380, 140, 400

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

Apply this formula for all numbers.

Step1:

LCM(221, 380) = 83980

GCD(221, 380) = ( 221 x 380 ) / 83980

= 221 / 380

= 221

Step2:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 221, 380, 140, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 273, 712, 816
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Given numbers are 221, 380, 140, 400
The greatest common divisor of numbers 221, 380, 140, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 380, 140, 400 is 1.

1. What is the GCD of 221, 380, 140, 400?

GCD of given numbers 221, 380, 140, 400 is 1

2. How to calculate the greatest common divisor of 221, 380, 140, 400?

We can find the highest common divisor of 221, 380, 140, 400 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 221, 380, 140, 400 i.e 1.

3. How can I use the GCD of 221, 380, 140, 400Calculator?

Out the numbers 221, 380, 140, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.