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 196, 166, 65, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 166, 65, 762 is 1
GCD(196, 166, 65, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 166, 65, 762 is 1
GCD(196, 166, 65, 762) = 1
Given Input numbers are 196, 166, 65, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 196, 166, 65, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 166, 65, 762 is 1.
Therefore, GCD of numbers 196, 166, 65, 762 is 1
Given Input Data is 196, 166, 65, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 166 is 2 x 83
Prime Factorization of 65 is 5 x 13
Prime Factorization of 762 is 2 x 3 x 127
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(196, 166) = 16268
GCD(196, 166) = ( 196 x 166 ) / 16268
GCD(196, 166) = 32536 / 16268
GCD(196, 166) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 196, 166, 65, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 166, 65, 762?
GCD of 196, 166, 65, 762 is 1
2. Where do I get the detailed procedure to find GCD of 196, 166, 65, 762?
You can find a detailed procedure to find GCD of 196, 166, 65, 762 on our page.
3. How to find GCD of 196, 166, 65, 762 on a calculator?
You can find the GCD of 196, 166, 65, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.