GCD of 74, 97, 77, 49 Calculator

Given Input numbers are 74, 97, 77, 49

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 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 74, 97, 77, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 97, 77, 49 is 1.

Therefore, GCD of numbers 74, 97, 77, 49 is 1

Given Input Data is 74, 97, 77, 49

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 97 is 97

Prime Factorization of 77 is 7 x 11

Prime Factorization of 49 is 7 x 7

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, 97) = 7178

GCD(74, 97) = ( 74 x 97 ) / 7178

GCD(74, 97) = 7178 / 7178

GCD(74, 97) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 74, 97, 77, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 61, 29, 41
• GCD of 62, 72, 68, 43
• GCD of 63, 71, 82, 24
• GCD of 98, 68, 90, 17
• GCD of 16, 75, 11, 78

1. What is the GCD of 74, 97, 77, 49?

GCD of 74, 97, 77, 49 is 1

2. Where do I get the detailed procedure to find GCD of 74, 97, 77, 49?

You can find a detailed procedure to find GCD of 74, 97, 77, 49 on our page.

3. How to find GCD of 74, 97, 77, 49 on a calculator?

You can find the GCD of 74, 97, 77, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.