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 861, 705, 776, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 705, 776, 467 is 1
GCD(861, 705, 776, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 705, 776, 467 is 1
GCD(861, 705, 776, 467) = 1
Given Input numbers are 861, 705, 776, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 861, 705, 776, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 705, 776, 467 is 1.
Therefore, GCD of numbers 861, 705, 776, 467 is 1
Given Input Data is 861, 705, 776, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 467 is 467
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(861, 705) = 202335
GCD(861, 705) = ( 861 x 705 ) / 202335
GCD(861, 705) = 607005 / 202335
GCD(861, 705) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 776) = 2328
GCD(3, 776) = ( 3 x 776 ) / 2328
GCD(3, 776) = 2328 / 2328
GCD(3, 776) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 861, 705, 776, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 705, 776, 467?
GCD of 861, 705, 776, 467 is 1
2. Where do I get the detailed procedure to find GCD of 861, 705, 776, 467?
You can find a detailed procedure to find GCD of 861, 705, 776, 467 on our page.
3. How to find GCD of 861, 705, 776, 467 on a calculator?
You can find the GCD of 861, 705, 776, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.