GCD of 67, 65, 78, 14 Calculator

Given Input numbers are 67, 65, 78, 14

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

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 78 :

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

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

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 (67, 65, 78, 14) = 1.

Given numbers are 67, 65, 78, 14

The list of prime factors of all numbers are

Prime factors of 67 are 67

Prime factors of 65 are 5 x 13

Prime factors of 78 are 2 x 3 x 13

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 67, 65, 78, 14

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

Apply this formula for all numbers.

Step1:

LCM(67, 65) = 4355

GCD(67, 65) = ( 67 x 65 ) / 4355

= 67 / 65

= 67

Step2:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1

Step3:

LCM(1, 14) = 14

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

= 1 / 14

= 1

So, Greatest Common Divisor of 67, 65, 78, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 99, 55, 27
• GCD of 14, 32, 71, 61
• GCD of 50, 17, 48, 32
• GCD of 27, 94, 49, 93
• GCD of 90, 21, 59, 86

Given numbers are 67, 65, 78, 14
The greatest common divisor of numbers 67, 65, 78, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 67, 65, 78, 14 is 1.

1. What is the GCD of 67, 65, 78, 14?

GCD of given numbers 67, 65, 78, 14 is 1

2. How to calculate the greatest common divisor of 67, 65, 78, 14?

We can find the highest common divisor of 67, 65, 78, 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 67, 65, 78, 14 i.e 1.

3. How can I use the GCD of 67, 65, 78, 14Calculator?

Out the numbers 67, 65, 78, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.