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 85, 742, 158, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 742, 158, 708 is 1
GCD(85, 742, 158, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 742, 158, 708 is 1
GCD(85, 742, 158, 708) = 1
Given Input numbers are 85, 742, 158, 708
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 85, 742, 158, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 742, 158, 708 is 1.
Therefore, GCD of numbers 85, 742, 158, 708 is 1
Given Input Data is 85, 742, 158, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 158 is 2 x 79
Prime Factorization of 708 is 2 x 2 x 3 x 59
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(85, 742) = 63070
GCD(85, 742) = ( 85 x 742 ) / 63070
GCD(85, 742) = 63070 / 63070
GCD(85, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 85, 742, 158, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 742, 158, 708?
GCD of 85, 742, 158, 708 is 1
2. Where do I get the detailed procedure to find GCD of 85, 742, 158, 708?
You can find a detailed procedure to find GCD of 85, 742, 158, 708 on our page.
3. How to find GCD of 85, 742, 158, 708 on a calculator?
You can find the GCD of 85, 742, 158, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.