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 692, 860, 752, 146 i.e. 2 largest integer that divides all the numbers equally.
GCD of 692, 860, 752, 146 is 2
GCD(692, 860, 752, 146) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 860, 752, 146 is 2
GCD(692, 860, 752, 146) = 2
Given Input numbers are 692, 860, 752, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 692, 860, 752, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 860, 752, 146 is 2.
Therefore, GCD of numbers 692, 860, 752, 146 is 2
Given Input Data is 692, 860, 752, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 146 is 2 x 73
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(692, 860) = 148780
GCD(692, 860) = ( 692 x 860 ) / 148780
GCD(692, 860) = 595120 / 148780
GCD(692, 860) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 752) = 752
GCD(4, 752) = ( 4 x 752 ) / 752
GCD(4, 752) = 3008 / 752
GCD(4, 752) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 146) = 292
GCD(4, 146) = ( 4 x 146 ) / 292
GCD(4, 146) = 584 / 292
GCD(4, 146) = 2
GCD of 692, 860, 752, 146 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 860, 752, 146?
GCD of 692, 860, 752, 146 is 2
2. Where do I get the detailed procedure to find GCD of 692, 860, 752, 146?
You can find a detailed procedure to find GCD of 692, 860, 752, 146 on our page.
3. How to find GCD of 692, 860, 752, 146 on a calculator?
You can find the GCD of 692, 860, 752, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.