GCD of 380, 101, 217, 116 Calculator

Given Input numbers are 380, 101, 217, 116

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 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (380, 101, 217, 116) = 1.

Given numbers are 380, 101, 217, 116

The list of prime factors of all numbers are

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

Prime factors of 101 are 101

Prime factors of 217 are 7 x 31

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 380, 101, 217, 116

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

Apply this formula for all numbers.

Step1:

LCM(380, 101) = 38380

GCD(380, 101) = ( 380 x 101 ) / 38380

= 380 / 101

= 380

Step2:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 380, 101, 217, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 449, 331, 859
• GCD of 816, 191, 278, 571
• GCD of 821, 171, 986, 956
• GCD of 253, 144, 286, 240
• GCD of 894, 682, 908, 943

Given numbers are 380, 101, 217, 116
The greatest common divisor of numbers 380, 101, 217, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 101, 217, 116 is 1.

1. What is the GCD of 380, 101, 217, 116?

GCD of given numbers 380, 101, 217, 116 is 1

2. How to calculate the greatest common divisor of 380, 101, 217, 116?

We can find the highest common divisor of 380, 101, 217, 116 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, 101, 217, 116 i.e 1.

3. How can I use the GCD of 380, 101, 217, 116Calculator?

Out the numbers 380, 101, 217, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.