GCD of 971, 380, 213 Calculator

Given Input numbers are 971, 380, 213

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

Divisors of 971 :

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

1, 971

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (971, 380, 213) = 1.

Given numbers are 971, 380, 213

The list of prime factors of all numbers are

Prime factors of 971 are 971

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

Prime factors of 213 are 3 x 71

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

Given numbers are 971, 380, 213

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

Apply this formula for all numbers.

Step1:

LCM(971, 380) = 368980

GCD(971, 380) = ( 971 x 380 ) / 368980

= 971 / 380

= 971

Step2:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 971, 380, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 605, 867
• GCD of 749, 787, 368
• GCD of 367, 860, 221
• GCD of 590, 761, 513
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Given numbers are 971, 380, 213
The greatest common divisor of numbers 971, 380, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 380, 213 is 1.

1. What is the GCD of 971, 380, 213?

GCD of given numbers 971, 380, 213 is 1

2. How to calculate the greatest common divisor of 971, 380, 213?

We can find the highest common divisor of 971, 380, 213 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 971, 380, 213 i.e 1.

3. How can I use the GCD of 971, 380, 213Calculator?

Out the numbers 971, 380, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.