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 780, 561, 708, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 561, 708, 152 is 1
GCD(780, 561, 708, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 561, 708, 152 is 1
GCD(780, 561, 708, 152) = 1
Given Input numbers are 780, 561, 708, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 780, 561, 708, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 561, 708, 152 is 1.
Therefore, GCD of numbers 780, 561, 708, 152 is 1
Given Input Data is 780, 561, 708, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(780, 561) = 145860
GCD(780, 561) = ( 780 x 561 ) / 145860
GCD(780, 561) = 437580 / 145860
GCD(780, 561) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
GCD(3, 708) = 2124 / 708
GCD(3, 708) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 152) = 456
GCD(3, 152) = ( 3 x 152 ) / 456
GCD(3, 152) = 456 / 456
GCD(3, 152) = 1
GCD of 780, 561, 708, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 561, 708, 152?
GCD of 780, 561, 708, 152 is 1
2. Where do I get the detailed procedure to find GCD of 780, 561, 708, 152?
You can find a detailed procedure to find GCD of 780, 561, 708, 152 on our page.
3. How to find GCD of 780, 561, 708, 152 on a calculator?
You can find the GCD of 780, 561, 708, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.