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 820, 202, 770, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 202, 770, 437 is 1
GCD(820, 202, 770, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 202, 770, 437 is 1
GCD(820, 202, 770, 437) = 1
Given Input numbers are 820, 202, 770, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 820, 202, 770, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 202, 770, 437 is 1.
Therefore, GCD of numbers 820, 202, 770, 437 is 1
Given Input Data is 820, 202, 770, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 202 is 2 x 101
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 437 is 19 x 23
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(820, 202) = 82820
GCD(820, 202) = ( 820 x 202 ) / 82820
GCD(820, 202) = 165640 / 82820
GCD(820, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
GCD(2, 770) = 1540 / 770
GCD(2, 770) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 437) = 874
GCD(2, 437) = ( 2 x 437 ) / 874
GCD(2, 437) = 874 / 874
GCD(2, 437) = 1
GCD of 820, 202, 770, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 202, 770, 437?
GCD of 820, 202, 770, 437 is 1
2. Where do I get the detailed procedure to find GCD of 820, 202, 770, 437?
You can find a detailed procedure to find GCD of 820, 202, 770, 437 on our page.
3. How to find GCD of 820, 202, 770, 437 on a calculator?
You can find the GCD of 820, 202, 770, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.