GCD of 10, 31, 24, 34 Calculator

Given Input numbers are 10, 31, 24, 34

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 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

GCD of numbers is the greatest common divisor

So, the GCD (10, 31, 24, 34) = 1.

Given numbers are 10, 31, 24, 34

The list of prime factors of all numbers are

Prime factors of 10 are 2 x 5

Prime factors of 31 are 31

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 34 are 2 x 17

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

Given numbers are 10, 31, 24, 34

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

Apply this formula for all numbers.

Step1:

LCM(10, 31) = 310

GCD(10, 31) = ( 10 x 31 ) / 310

= 10 / 31

= 10

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

= 1 / 34

= 1

So, Greatest Common Divisor of 10, 31, 24, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 95, 97, 58
• GCD of 16, 81, 72, 39
• GCD of 15, 25, 78, 65
• GCD of 60, 32, 83, 27
• GCD of 12, 18, 46, 72

Given numbers are 10, 31, 24, 34
The greatest common divisor of numbers 10, 31, 24, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 10, 31, 24, 34 is 1.

1. What is the GCD of 10, 31, 24, 34?

GCD of given numbers 10, 31, 24, 34 is 1

2. How to calculate the greatest common divisor of 10, 31, 24, 34?

We can find the highest common divisor of 10, 31, 24, 34 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, 31, 24, 34 i.e 1.

3. How can I use the GCD of 10, 31, 24, 34Calculator?

Out the numbers 10, 31, 24, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.