GCD of 74, 26, 69, 67 Calculator

Given Input numbers are 74, 26, 69, 67

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 74, 26, 69, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 26, 69, 67 is 1.

Therefore, GCD of numbers 74, 26, 69, 67 is 1

Given Input Data is 74, 26, 69, 67

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 74 is 2 x 37

Prime Factorization of 26 is 2 x 13

Prime Factorization of 69 is 3 x 23

Prime Factorization of 67 is 67

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(74, 26) = 962

GCD(74, 26) = ( 74 x 26 ) / 962

GCD(74, 26) = 1924 / 962

GCD(74, 26) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

GCD of 74, 26, 69, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 73, 24, 43
• GCD of 85, 97, 39, 84
• GCD of 58, 71, 26, 22
• GCD of 34, 84, 16, 89
• GCD of 50, 91, 35, 89

1. What is the GCD of 74, 26, 69, 67?

GCD of 74, 26, 69, 67 is 1

2. Where do I get the detailed procedure to find GCD of 74, 26, 69, 67?

You can find a detailed procedure to find GCD of 74, 26, 69, 67 on our page.

3. How to find GCD of 74, 26, 69, 67 on a calculator?

You can find the GCD of 74, 26, 69, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.