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 960, 620, 59, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 960, 620, 59, 260 is 1
GCD(960, 620, 59, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 620, 59, 260 is 1
GCD(960, 620, 59, 260) = 1
Given Input numbers are 960, 620, 59, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 960, 620, 59, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 620, 59, 260 is 1.
Therefore, GCD of numbers 960, 620, 59, 260 is 1
Given Input Data is 960, 620, 59, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 59 is 59
Prime Factorization of 260 is 2 x 2 x 5 x 13
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(960, 620) = 29760
GCD(960, 620) = ( 960 x 620 ) / 29760
GCD(960, 620) = 595200 / 29760
GCD(960, 620) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 59) = 1180
GCD(20, 59) = ( 20 x 59 ) / 1180
GCD(20, 59) = 1180 / 1180
GCD(20, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 960, 620, 59, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 620, 59, 260?
GCD of 960, 620, 59, 260 is 1
2. Where do I get the detailed procedure to find GCD of 960, 620, 59, 260?
You can find a detailed procedure to find GCD of 960, 620, 59, 260 on our page.
3. How to find GCD of 960, 620, 59, 260 on a calculator?
You can find the GCD of 960, 620, 59, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.