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 340, 488, 680, 776 i.e. 4 largest integer that divides all the numbers equally.
GCD of 340, 488, 680, 776 is 4
GCD(340, 488, 680, 776) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 488, 680, 776 is 4
GCD(340, 488, 680, 776) = 4
Given Input numbers are 340, 488, 680, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 340, 488, 680, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 488, 680, 776 is 4.
Therefore, GCD of numbers 340, 488, 680, 776 is 4
Given Input Data is 340, 488, 680, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 776 is 2 x 2 x 2 x 97
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(340, 488) = 41480
GCD(340, 488) = ( 340 x 488 ) / 41480
GCD(340, 488) = 165920 / 41480
GCD(340, 488) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 680) = 680
GCD(4, 680) = ( 4 x 680 ) / 680
GCD(4, 680) = 2720 / 680
GCD(4, 680) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 776) = 776
GCD(4, 776) = ( 4 x 776 ) / 776
GCD(4, 776) = 3104 / 776
GCD(4, 776) = 4
GCD of 340, 488, 680, 776 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 488, 680, 776?
GCD of 340, 488, 680, 776 is 4
2. Where do I get the detailed procedure to find GCD of 340, 488, 680, 776?
You can find a detailed procedure to find GCD of 340, 488, 680, 776 on our page.
3. How to find GCD of 340, 488, 680, 776 on a calculator?
You can find the GCD of 340, 488, 680, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.