GCD of 500, 378, 74, 271 Calculator

Given Input numbers are 500, 378, 74, 271

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

GCD of numbers is the greatest common divisor

So, the GCD (500, 378, 74, 271) = 1.

Given numbers are 500, 378, 74, 271

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 74 are 2 x 37

Prime factors of 271 are 271

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

Given numbers are 500, 378, 74, 271

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

Apply this formula for all numbers.

Step1:

LCM(500, 378) = 94500

GCD(500, 378) = ( 500 x 378 ) / 94500

= 500 / 378

= 500

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

= 2 / 271

= 2

So, Greatest Common Divisor of 500, 378, 74, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 544, 40, 103
• GCD of 622, 137, 41, 584
• GCD of 480, 273, 51, 721
• GCD of 580, 447, 62, 560
• GCD of 610, 630, 65, 181

Given numbers are 500, 378, 74, 271
The greatest common divisor of numbers 500, 378, 74, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 378, 74, 271 is 1.

1. What is the GCD of 500, 378, 74, 271?

GCD of given numbers 500, 378, 74, 271 is 1

2. How to calculate the greatest common divisor of 500, 378, 74, 271?

We can find the highest common divisor of 500, 378, 74, 271 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 500, 378, 74, 271 i.e 1.

3. How can I use the GCD of 500, 378, 74, 271Calculator?

Out the numbers 500, 378, 74, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.