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 138, 511, 710, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 138, 511, 710, 612 is 1
GCD(138, 511, 710, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 138, 511, 710, 612 is 1
GCD(138, 511, 710, 612) = 1
Given Input numbers are 138, 511, 710, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 138, 511, 710, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 511, 710, 612 is 1.
Therefore, GCD of numbers 138, 511, 710, 612 is 1
Given Input Data is 138, 511, 710, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 511 is 7 x 73
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(138, 511) = 70518
GCD(138, 511) = ( 138 x 511 ) / 70518
GCD(138, 511) = 70518 / 70518
GCD(138, 511) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 710) = 710
GCD(1, 710) = ( 1 x 710 ) / 710
GCD(1, 710) = 710 / 710
GCD(1, 710) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 138, 511, 710, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 138, 511, 710, 612?
GCD of 138, 511, 710, 612 is 1
2. Where do I get the detailed procedure to find GCD of 138, 511, 710, 612?
You can find a detailed procedure to find GCD of 138, 511, 710, 612 on our page.
3. How to find GCD of 138, 511, 710, 612 on a calculator?
You can find the GCD of 138, 511, 710, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.