GCD of 34, 78, 90, 20 Calculator

Given Input numbers are 34, 78, 90, 20

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

Divisors of 34 :

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

1, 2, 17, 34

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (34, 78, 90, 20) = 2.

Given numbers are 34, 78, 90, 20

The list of prime factors of all numbers are

Prime factors of 34 are 2 x 17

Prime factors of 78 are 2 x 3 x 13

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 34, 78, 90, 20 is 2.

Given numbers are 34, 78, 90, 20

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

Apply this formula for all numbers.

Step1:

LCM(34, 78) = 1326

GCD(34, 78) = ( 34 x 78 ) / 1326

= 34 / 78

= 34

Step2:

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

= 2 / 90

= 2

Step3:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

So, Greatest Common Divisor of 34, 78, 90, 20 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 96, 37, 12
• GCD of 30, 77, 72, 15
• GCD of 63, 90, 17, 44
• GCD of 14, 90, 84, 15
• GCD of 45, 61, 10, 81

Given numbers are 34, 78, 90, 20
The greatest common divisor of numbers 34, 78, 90, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 34, 78, 90, 20 is 2.

1. What is the GCD of 34, 78, 90, 20?

GCD of given numbers 34, 78, 90, 20 is 2

2. How to calculate the greatest common divisor of 34, 78, 90, 20?

We can find the highest common divisor of 34, 78, 90, 20 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 34, 78, 90, 20 i.e 2.

3. How can I use the GCD of 34, 78, 90, 20Calculator?

Out the numbers 34, 78, 90, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.