GCD of 77, 105, 152, 834 Calculator

Given Input numbers are 77, 105, 152, 834

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 77, 105, 152, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 105, 152, 834 is 1.

Therefore, GCD of numbers 77, 105, 152, 834 is 1

Given Input Data is 77, 105, 152, 834

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 834 is 2 x 3 x 139

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(77, 105) = 1155

GCD(77, 105) = ( 77 x 105 ) / 1155

GCD(77, 105) = 8085 / 1155

GCD(77, 105) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 152

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

LCM(7, 152) = 1064

GCD(7, 152) = ( 7 x 152 ) / 1064

GCD(7, 152) = 1064 / 1064

GCD(7, 152) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 77, 105, 152, 834 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 235, 642, 166
• GCD of 56, 115, 712, 505
• GCD of 82, 665, 971, 525
• GCD of 38, 510, 279, 880
• GCD of 21, 609, 866, 247

1. What is the GCD of 77, 105, 152, 834?

GCD of 77, 105, 152, 834 is 1

2. Where do I get the detailed procedure to find GCD of 77, 105, 152, 834?

You can find a detailed procedure to find GCD of 77, 105, 152, 834 on our page.

3. How to find GCD of 77, 105, 152, 834 on a calculator?

You can find the GCD of 77, 105, 152, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.