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 970, 870, 89, 215 i.e. 1 largest integer that divides all the numbers equally.
GCD of 970, 870, 89, 215 is 1
GCD(970, 870, 89, 215) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 970, 870, 89, 215 is 1
GCD(970, 870, 89, 215) = 1
Given Input numbers are 970, 870, 89, 215
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
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 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Greatest Common Divisior
We found the divisors of 970, 870, 89, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 870, 89, 215 is 1.
Therefore, GCD of numbers 970, 870, 89, 215 is 1
Given Input Data is 970, 870, 89, 215
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 89 is 89
Prime Factorization of 215 is 5 x 43
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(970, 870) = 84390
GCD(970, 870) = ( 970 x 870 ) / 84390
GCD(970, 870) = 843900 / 84390
GCD(970, 870) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 89) = 890
GCD(10, 89) = ( 10 x 89 ) / 890
GCD(10, 89) = 890 / 890
GCD(10, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 215
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 215) = 215
GCD(1, 215) = ( 1 x 215 ) / 215
GCD(1, 215) = 215 / 215
GCD(1, 215) = 1
GCD of 970, 870, 89, 215 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 970, 870, 89, 215?
GCD of 970, 870, 89, 215 is 1
2. Where do I get the detailed procedure to find GCD of 970, 870, 89, 215?
You can find a detailed procedure to find GCD of 970, 870, 89, 215 on our page.
3. How to find GCD of 970, 870, 89, 215 on a calculator?
You can find the GCD of 970, 870, 89, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.