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 870, 715, 26, 532 i.e. 1 largest integer that divides all the numbers equally.
GCD of 870, 715, 26, 532 is 1
GCD(870, 715, 26, 532) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 870, 715, 26, 532 is 1
GCD(870, 715, 26, 532) = 1
Given Input numbers are 870, 715, 26, 532
To find the GCD of numbers using factoring list out all the divisors of each number
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 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 870, 715, 26, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 715, 26, 532 is 1.
Therefore, GCD of numbers 870, 715, 26, 532 is 1
Given Input Data is 870, 715, 26, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 26 is 2 x 13
Prime Factorization of 532 is 2 x 2 x 7 x 19
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(870, 715) = 124410
GCD(870, 715) = ( 870 x 715 ) / 124410
GCD(870, 715) = 622050 / 124410
GCD(870, 715) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 26) = 130
GCD(5, 26) = ( 5 x 26 ) / 130
GCD(5, 26) = 130 / 130
GCD(5, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
GCD of 870, 715, 26, 532 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 870, 715, 26, 532?
GCD of 870, 715, 26, 532 is 1
2. Where do I get the detailed procedure to find GCD of 870, 715, 26, 532?
You can find a detailed procedure to find GCD of 870, 715, 26, 532 on our page.
3. How to find GCD of 870, 715, 26, 532 on a calculator?
You can find the GCD of 870, 715, 26, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.