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 261, 980, 390, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 980, 390, 670 is 1
GCD(261, 980, 390, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 980, 390, 670 is 1
GCD(261, 980, 390, 670) = 1
Given Input numbers are 261, 980, 390, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 261, 980, 390, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 980, 390, 670 is 1.
Therefore, GCD of numbers 261, 980, 390, 670 is 1
Given Input Data is 261, 980, 390, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 670 is 2 x 5 x 67
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(261, 980) = 255780
GCD(261, 980) = ( 261 x 980 ) / 255780
GCD(261, 980) = 255780 / 255780
GCD(261, 980) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 261, 980, 390, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 980, 390, 670?
GCD of 261, 980, 390, 670 is 1
2. Where do I get the detailed procedure to find GCD of 261, 980, 390, 670?
You can find a detailed procedure to find GCD of 261, 980, 390, 670 on our page.
3. How to find GCD of 261, 980, 390, 670 on a calculator?
You can find the GCD of 261, 980, 390, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.