GCD of 43, 20, 69, 14 Calculator

Given Input numbers are 43, 20, 69, 14

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

Divisors of 43 :

The positive integer divisors of 43 that completely divides 43 are.

1, 43

Divisors of 20 :

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

1, 2, 4, 5, 10, 20

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

GCD of numbers is the greatest common divisor

So, the GCD (43, 20, 69, 14) = 1.

Given numbers are 43, 20, 69, 14

The list of prime factors of all numbers are

Prime factors of 43 are 43

Prime factors of 20 are 2 x 2 x 5

Prime factors of 69 are 3 x 23

Prime factors of 14 are 2 x 7

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

Given numbers are 43, 20, 69, 14

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

Apply this formula for all numbers.

Step1:

LCM(43, 20) = 860

GCD(43, 20) = ( 43 x 20 ) / 860

= 43 / 20

= 43

Step2:

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

= 1 / 69

= 1

Step3:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

So, Greatest Common Divisor of 43, 20, 69, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 68, 64, 62
• GCD of 89, 40, 34, 31
• GCD of 47, 77, 37, 52
• GCD of 22, 83, 91, 53
• GCD of 92, 87, 37, 32

Given numbers are 43, 20, 69, 14
The greatest common divisor of numbers 43, 20, 69, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 43, 20, 69, 14 is 1.

1. What is the GCD of 43, 20, 69, 14?

GCD of given numbers 43, 20, 69, 14 is 1

2. How to calculate the greatest common divisor of 43, 20, 69, 14?

We can find the highest common divisor of 43, 20, 69, 14 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 43, 20, 69, 14 i.e 1.

3. How can I use the GCD of 43, 20, 69, 14Calculator?

Out the numbers 43, 20, 69, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.