GCD of 380, 100, 281, 986 Calculator

Given Input numbers are 380, 100, 281, 986

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 281 :

The positive integer divisors of 281 that completely divides 281 are.

1, 281

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (380, 100, 281, 986) = 1.

Given numbers are 380, 100, 281, 986

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 281 are 281

Prime factors of 986 are 2 x 17 x 29

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

Given numbers are 380, 100, 281, 986

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

Apply this formula for all numbers.

Step1:

LCM(380, 100) = 1900

GCD(380, 100) = ( 380 x 100 ) / 1900

= 380 / 100

= 380

Step2:

LCM(20, 281) = 5620

GCD(20, 281) = ( 20 x 281 ) / 5620

= 20 / 281

= 20

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 380, 100, 281, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 507, 850, 900
• GCD of 297, 215, 546, 673
• GCD of 367, 679, 342, 880
• GCD of 579, 945, 880, 233
• GCD of 538, 275, 754, 288

Given numbers are 380, 100, 281, 986
The greatest common divisor of numbers 380, 100, 281, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 100, 281, 986 is 1.

1. What is the GCD of 380, 100, 281, 986?

GCD of given numbers 380, 100, 281, 986 is 1

2. How to calculate the greatest common divisor of 380, 100, 281, 986?

We can find the highest common divisor of 380, 100, 281, 986 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, 100, 281, 986 i.e 1.

3. How can I use the GCD of 380, 100, 281, 986Calculator?

Out the numbers 380, 100, 281, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.