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 470, 922, 77, 625 i.e. 1 largest integer that divides all the numbers equally.
GCD of 470, 922, 77, 625 is 1
GCD(470, 922, 77, 625) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 922, 77, 625 is 1
GCD(470, 922, 77, 625) = 1
Given Input numbers are 470, 922, 77, 625
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Greatest Common Divisior
We found the divisors of 470, 922, 77, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 922, 77, 625 is 1.
Therefore, GCD of numbers 470, 922, 77, 625 is 1
Given Input Data is 470, 922, 77, 625
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 922 is 2 x 461
Prime Factorization of 77 is 7 x 11
Prime Factorization of 625 is 5 x 5 x 5 x 5
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(470, 922) = 216670
GCD(470, 922) = ( 470 x 922 ) / 216670
GCD(470, 922) = 433340 / 216670
GCD(470, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
GCD of 470, 922, 77, 625 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 922, 77, 625?
GCD of 470, 922, 77, 625 is 1
2. Where do I get the detailed procedure to find GCD of 470, 922, 77, 625?
You can find a detailed procedure to find GCD of 470, 922, 77, 625 on our page.
3. How to find GCD of 470, 922, 77, 625 on a calculator?
You can find the GCD of 470, 922, 77, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.