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 526, 625, 71, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 526, 625, 71, 987 is 1
GCD(526, 625, 71, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 625, 71, 987 is 1
GCD(526, 625, 71, 987) = 1
Given Input numbers are 526, 625, 71, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 526, 625, 71, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 625, 71, 987 is 1.
Therefore, GCD of numbers 526, 625, 71, 987 is 1
Given Input Data is 526, 625, 71, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 71 is 71
Prime Factorization of 987 is 3 x 7 x 47
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(526, 625) = 328750
GCD(526, 625) = ( 526 x 625 ) / 328750
GCD(526, 625) = 328750 / 328750
GCD(526, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 526, 625, 71, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 625, 71, 987?
GCD of 526, 625, 71, 987 is 1
2. Where do I get the detailed procedure to find GCD of 526, 625, 71, 987?
You can find a detailed procedure to find GCD of 526, 625, 71, 987 on our page.
3. How to find GCD of 526, 625, 71, 987 on a calculator?
You can find the GCD of 526, 625, 71, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.