Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 749, 834, 85, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 834, 85, 162 is 1
GCD(749, 834, 85, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 834, 85, 162 is 1
GCD(749, 834, 85, 162) = 1
Given Input numbers are 749, 834, 85, 162
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 749, 834, 85, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 834, 85, 162 is 1.
Therefore, GCD of numbers 749, 834, 85, 162 is 1
Given Input Data is 749, 834, 85, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 85 is 5 x 17
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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(749, 834) = 624666
GCD(749, 834) = ( 749 x 834 ) / 624666
GCD(749, 834) = 624666 / 624666
GCD(749, 834) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 749, 834, 85, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 834, 85, 162?
GCD of 749, 834, 85, 162 is 1
2. Where do I get the detailed procedure to find GCD of 749, 834, 85, 162?
You can find a detailed procedure to find GCD of 749, 834, 85, 162 on our page.
3. How to find GCD of 749, 834, 85, 162 on a calculator?
You can find the GCD of 749, 834, 85, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.