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 480, 955, 64, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 955, 64, 674 is 1
GCD(480, 955, 64, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 955, 64, 674 is 1
GCD(480, 955, 64, 674) = 1
Given Input numbers are 480, 955, 64, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 480, 955, 64, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 955, 64, 674 is 1.
Therefore, GCD of numbers 480, 955, 64, 674 is 1
Given Input Data is 480, 955, 64, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 955 is 5 x 191
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 674 is 2 x 337
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(480, 955) = 91680
GCD(480, 955) = ( 480 x 955 ) / 91680
GCD(480, 955) = 458400 / 91680
GCD(480, 955) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 64) = 320
GCD(5, 64) = ( 5 x 64 ) / 320
GCD(5, 64) = 320 / 320
GCD(5, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 480, 955, 64, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 955, 64, 674?
GCD of 480, 955, 64, 674 is 1
2. Where do I get the detailed procedure to find GCD of 480, 955, 64, 674?
You can find a detailed procedure to find GCD of 480, 955, 64, 674 on our page.
3. How to find GCD of 480, 955, 64, 674 on a calculator?
You can find the GCD of 480, 955, 64, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.