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 625, 932, 487, 705 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 932, 487, 705 is 1
GCD(625, 932, 487, 705) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 932, 487, 705 is 1
GCD(625, 932, 487, 705) = 1
Given Input numbers are 625, 932, 487, 705
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Greatest Common Divisior
We found the divisors of 625, 932, 487, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 932, 487, 705 is 1.
Therefore, GCD of numbers 625, 932, 487, 705 is 1
Given Input Data is 625, 932, 487, 705
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 487 is 487
Prime Factorization of 705 is 3 x 5 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(625, 932) = 582500
GCD(625, 932) = ( 625 x 932 ) / 582500
GCD(625, 932) = 582500 / 582500
GCD(625, 932) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
GCD(1, 705) = 705 / 705
GCD(1, 705) = 1
GCD of 625, 932, 487, 705 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 932, 487, 705?
GCD of 625, 932, 487, 705 is 1
2. Where do I get the detailed procedure to find GCD of 625, 932, 487, 705?
You can find a detailed procedure to find GCD of 625, 932, 487, 705 on our page.
3. How to find GCD of 625, 932, 487, 705 on a calculator?
You can find the GCD of 625, 932, 487, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.