GCD of 10, 38, 95, 21 Calculator

Given Input numbers are 10, 38, 95, 21

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

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 95 :

The positive integer divisors of 95 that completely divides 95 are.

1, 5, 19, 95

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

GCD of numbers is the greatest common divisor

So, the GCD (10, 38, 95, 21) = 1.

Given numbers are 10, 38, 95, 21

The list of prime factors of all numbers are

Prime factors of 10 are 2 x 5

Prime factors of 38 are 2 x 19

Prime factors of 95 are 5 x 19

Prime factors of 21 are 3 x 7

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

Given numbers are 10, 38, 95, 21

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

Apply this formula for all numbers.

Step1:

LCM(10, 38) = 190

GCD(10, 38) = ( 10 x 38 ) / 190

= 10 / 38

= 10

Step2:

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

= 2 / 95

= 2

Step3:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

So, Greatest Common Divisor of 10, 38, 95, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 35, 43, 57
• GCD of 41, 15, 16, 80
• GCD of 55, 30, 21, 45
• GCD of 89, 92, 45, 37
• GCD of 78, 82, 15, 79

Given numbers are 10, 38, 95, 21
The greatest common divisor of numbers 10, 38, 95, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 10, 38, 95, 21 is 1.

1. What is the GCD of 10, 38, 95, 21?

GCD of given numbers 10, 38, 95, 21 is 1

2. How to calculate the greatest common divisor of 10, 38, 95, 21?

We can find the highest common divisor of 10, 38, 95, 21 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 10, 38, 95, 21 i.e 1.

3. How can I use the GCD of 10, 38, 95, 21Calculator?

Out the numbers 10, 38, 95, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.