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 945, 625, 160, 320 i.e. 5 largest integer that divides all the numbers equally.
GCD of 945, 625, 160, 320 is 5
GCD(945, 625, 160, 320) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 625, 160, 320 is 5
GCD(945, 625, 160, 320) = 5
Given Input numbers are 945, 625, 160, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 945, 625, 160, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 625, 160, 320 is 5.
Therefore, GCD of numbers 945, 625, 160, 320 is 5
Given Input Data is 945, 625, 160, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(945, 625) = 118125
GCD(945, 625) = ( 945 x 625 ) / 118125
GCD(945, 625) = 590625 / 118125
GCD(945, 625) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 160) = 160
GCD(5, 160) = ( 5 x 160 ) / 160
GCD(5, 160) = 800 / 160
GCD(5, 160) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 320) = 320
GCD(5, 320) = ( 5 x 320 ) / 320
GCD(5, 320) = 1600 / 320
GCD(5, 320) = 5
GCD of 945, 625, 160, 320 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 625, 160, 320?
GCD of 945, 625, 160, 320 is 5
2. Where do I get the detailed procedure to find GCD of 945, 625, 160, 320?
You can find a detailed procedure to find GCD of 945, 625, 160, 320 on our page.
3. How to find GCD of 945, 625, 160, 320 on a calculator?
You can find the GCD of 945, 625, 160, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.