GCD of 201, 731, 310, 400 Calculator

Given Input numbers are 201, 731, 310, 400

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

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 (201, 731, 310, 400) = 1.

Given numbers are 201, 731, 310, 400

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

Prime factors of 731 are 17 x 43

Prime factors of 310 are 2 x 5 x 31

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 201, 731, 310, 400

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

Apply this formula for all numbers.

Step1:

LCM(201, 731) = 146931

GCD(201, 731) = ( 201 x 731 ) / 146931

= 201 / 731

= 201

Step2:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 201, 731, 310, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 595, 371, 346
• GCD of 292, 630, 422, 985
• GCD of 265, 690, 113, 194
• GCD of 589, 116, 810, 748
• GCD of 813, 794, 874, 180

Given numbers are 201, 731, 310, 400
The greatest common divisor of numbers 201, 731, 310, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 731, 310, 400 is 1.

1. What is the GCD of 201, 731, 310, 400?

GCD of given numbers 201, 731, 310, 400 is 1

2. How to calculate the greatest common divisor of 201, 731, 310, 400?

We can find the highest common divisor of 201, 731, 310, 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 201, 731, 310, 400 i.e 1.

3. How can I use the GCD of 201, 731, 310, 400Calculator?

Out the numbers 201, 731, 310, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.