GCD of 45, 38, 10, 86 Calculator

Given Input numbers are 45, 38, 10, 86

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

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 38 :

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

1, 2, 19, 38

Divisors of 10 :

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

1, 2, 5, 10

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

GCD of numbers is the greatest common divisor

So, the GCD (45, 38, 10, 86) = 1.

Given numbers are 45, 38, 10, 86

The list of prime factors of all numbers are

Prime factors of 45 are 3 x 3 x 5

Prime factors of 38 are 2 x 19

Prime factors of 10 are 2 x 5

Prime factors of 86 are 2 x 43

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

Given numbers are 45, 38, 10, 86

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

Apply this formula for all numbers.

Step1:

LCM(45, 38) = 1710

GCD(45, 38) = ( 45 x 38 ) / 1710

= 45 / 38

= 45

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

= 1 / 86

= 1

So, Greatest Common Divisor of 45, 38, 10, 86 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 88, 62, 90
• GCD of 78, 80, 34, 88
• GCD of 43, 52, 67, 76
• GCD of 82, 25, 76, 92
• GCD of 87, 23, 99, 85

Given numbers are 45, 38, 10, 86
The greatest common divisor of numbers 45, 38, 10, 86 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 45, 38, 10, 86 is 1.

1. What is the GCD of 45, 38, 10, 86?

GCD of given numbers 45, 38, 10, 86 is 1

2. How to calculate the greatest common divisor of 45, 38, 10, 86?

We can find the highest common divisor of 45, 38, 10, 86 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 45, 38, 10, 86 i.e 1.

3. How can I use the GCD of 45, 38, 10, 86Calculator?

Out the numbers 45, 38, 10, 86 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.