GCD of 76, 64, 85, 49 Calculator

Given Input numbers are 76, 64, 85, 49

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 76, 64, 85, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 64, 85, 49 is 1.

Therefore, GCD of numbers 76, 64, 85, 49 is 1

Given Input Data is 76, 64, 85, 49

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 85 is 5 x 17

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(76, 64) = 1216

GCD(76, 64) = ( 76 x 64 ) / 1216

GCD(76, 64) = 4864 / 1216

GCD(76, 64) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 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 76, 64, 85, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 66, 95, 74
• GCD of 82, 47, 86, 86
• GCD of 97, 31, 75, 49
• GCD of 22, 68, 63, 21
• GCD of 60, 30, 33, 26

1. What is the GCD of 76, 64, 85, 49?

GCD of 76, 64, 85, 49 is 1

2. Where do I get the detailed procedure to find GCD of 76, 64, 85, 49?

You can find a detailed procedure to find GCD of 76, 64, 85, 49 on our page.

3. How to find GCD of 76, 64, 85, 49 on a calculator?

You can find the GCD of 76, 64, 85, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.