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 880, 767, 46, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 767, 46, 658 is 1
GCD(880, 767, 46, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 767, 46, 658 is 1
GCD(880, 767, 46, 658) = 1
Given Input numbers are 880, 767, 46, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 880, 767, 46, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 767, 46, 658 is 1.
Therefore, GCD of numbers 880, 767, 46, 658 is 1
Given Input Data is 880, 767, 46, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 767 is 13 x 59
Prime Factorization of 46 is 2 x 23
Prime Factorization of 658 is 2 x 7 x 47
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(880, 767) = 674960
GCD(880, 767) = ( 880 x 767 ) / 674960
GCD(880, 767) = 674960 / 674960
GCD(880, 767) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 880, 767, 46, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 767, 46, 658?
GCD of 880, 767, 46, 658 is 1
2. Where do I get the detailed procedure to find GCD of 880, 767, 46, 658?
You can find a detailed procedure to find GCD of 880, 767, 46, 658 on our page.
3. How to find GCD of 880, 767, 46, 658 on a calculator?
You can find the GCD of 880, 767, 46, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.