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 61, 762, 824, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 762, 824, 771 is 1
GCD(61, 762, 824, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 762, 824, 771 is 1
GCD(61, 762, 824, 771) = 1
Given Input numbers are 61, 762, 824, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 61, 762, 824, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 762, 824, 771 is 1.
Therefore, GCD of numbers 61, 762, 824, 771 is 1
Given Input Data is 61, 762, 824, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 771 is 3 x 257
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(61, 762) = 46482
GCD(61, 762) = ( 61 x 762 ) / 46482
GCD(61, 762) = 46482 / 46482
GCD(61, 762) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 61, 762, 824, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 762, 824, 771?
GCD of 61, 762, 824, 771 is 1
2. Where do I get the detailed procedure to find GCD of 61, 762, 824, 771?
You can find a detailed procedure to find GCD of 61, 762, 824, 771 on our page.
3. How to find GCD of 61, 762, 824, 771 on a calculator?
You can find the GCD of 61, 762, 824, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.