GCD of 914, 414, 20 Calculator

Given Input numbers are 914, 414, 20

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (914, 414, 20) = 2.

Given numbers are 914, 414, 20

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 20 are 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 914, 414, 20 is 2.

Given numbers are 914, 414, 20

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

Apply this formula for all numbers.

Step1:

LCM(914, 414) = 189198

GCD(914, 414) = ( 914 x 414 ) / 189198

= 914 / 414

= 914

Step2:

LCM(2, 20) = 20

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

= 2 / 20

= 2

So, Greatest Common Divisor of 914, 414, 20 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 657, 73
• GCD of 946, 519, 38
• GCD of 336, 597, 73
• GCD of 571, 319, 28
• GCD of 325, 358, 79

Given numbers are 914, 414, 20
The greatest common divisor of numbers 914, 414, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 414, 20 is 2.

1. What is the GCD of 914, 414, 20?

GCD of given numbers 914, 414, 20 is 2

2. How to calculate the greatest common divisor of 914, 414, 20?

We can find the highest common divisor of 914, 414, 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 914, 414, 20 i.e 2.

3. How can I use the GCD of 914, 414, 20Calculator?

Out the numbers 914, 414, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.