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 70, 286, 987, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 286, 987, 527 is 1
GCD(70, 286, 987, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 286, 987, 527 is 1
GCD(70, 286, 987, 527) = 1
Given Input numbers are 70, 286, 987, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 70, 286, 987, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 286, 987, 527 is 1.
Therefore, GCD of numbers 70, 286, 987, 527 is 1
Given Input Data is 70, 286, 987, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 527 is 17 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(70, 286) = 10010
GCD(70, 286) = ( 70 x 286 ) / 10010
GCD(70, 286) = 20020 / 10010
GCD(70, 286) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
GCD(2, 987) = 1974 / 1974
GCD(2, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
GCD(1, 527) = 527 / 527
GCD(1, 527) = 1
GCD of 70, 286, 987, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 286, 987, 527?
GCD of 70, 286, 987, 527 is 1
2. Where do I get the detailed procedure to find GCD of 70, 286, 987, 527?
You can find a detailed procedure to find GCD of 70, 286, 987, 527 on our page.
3. How to find GCD of 70, 286, 987, 527 on a calculator?
You can find the GCD of 70, 286, 987, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.