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 212, 870, 765, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 870, 765, 124 is 1
GCD(212, 870, 765, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 870, 765, 124 is 1
GCD(212, 870, 765, 124) = 1
Given Input numbers are 212, 870, 765, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 212, 870, 765, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 870, 765, 124 is 1.
Therefore, GCD of numbers 212, 870, 765, 124 is 1
Given Input Data is 212, 870, 765, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 124 is 2 x 2 x 31
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(212, 870) = 92220
GCD(212, 870) = ( 212 x 870 ) / 92220
GCD(212, 870) = 184440 / 92220
GCD(212, 870) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 765) = 1530
GCD(2, 765) = ( 2 x 765 ) / 1530
GCD(2, 765) = 1530 / 1530
GCD(2, 765) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 212, 870, 765, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 870, 765, 124?
GCD of 212, 870, 765, 124 is 1
2. Where do I get the detailed procedure to find GCD of 212, 870, 765, 124?
You can find a detailed procedure to find GCD of 212, 870, 765, 124 on our page.
3. How to find GCD of 212, 870, 765, 124 on a calculator?
You can find the GCD of 212, 870, 765, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.