GCD of 380, 310, 273, 971 Calculator

Given Input numbers are 380, 310, 273, 971

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

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 310 :

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

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (380, 310, 273, 971) = 1.

Given numbers are 380, 310, 273, 971

The list of prime factors of all numbers are

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

Prime factors of 310 are 2 x 5 x 31

Prime factors of 273 are 3 x 7 x 13

Prime factors of 971 are 971

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

Given numbers are 380, 310, 273, 971

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

Apply this formula for all numbers.

Step1:

LCM(380, 310) = 11780

GCD(380, 310) = ( 380 x 310 ) / 11780

= 380 / 310

= 380

Step2:

LCM(10, 273) = 2730

GCD(10, 273) = ( 10 x 273 ) / 2730

= 10 / 273

= 10

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 380, 310, 273, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 640, 653, 781
• GCD of 463, 738, 634, 620
• GCD of 153, 411, 207, 680
• GCD of 272, 734, 337, 601
• GCD of 300, 171, 963, 501

Given numbers are 380, 310, 273, 971
The greatest common divisor of numbers 380, 310, 273, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 310, 273, 971 is 1.

1. What is the GCD of 380, 310, 273, 971?

GCD of given numbers 380, 310, 273, 971 is 1

2. How to calculate the greatest common divisor of 380, 310, 273, 971?

We can find the highest common divisor of 380, 310, 273, 971 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 380, 310, 273, 971 i.e 1.

3. How can I use the GCD of 380, 310, 273, 971Calculator?

Out the numbers 380, 310, 273, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.