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 940, 278, 771, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 278, 771, 680 is 1
GCD(940, 278, 771, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 278, 771, 680 is 1
GCD(940, 278, 771, 680) = 1
Given Input numbers are 940, 278, 771, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
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
Greatest Common Divisior
We found the divisors of 940, 278, 771, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 278, 771, 680 is 1.
Therefore, GCD of numbers 940, 278, 771, 680 is 1
Given Input Data is 940, 278, 771, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 278 is 2 x 139
Prime Factorization of 771 is 3 x 257
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(940, 278) = 130660
GCD(940, 278) = ( 940 x 278 ) / 130660
GCD(940, 278) = 261320 / 130660
GCD(940, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 771) = 1542
GCD(2, 771) = ( 2 x 771 ) / 1542
GCD(2, 771) = 1542 / 1542
GCD(2, 771) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 940, 278, 771, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 278, 771, 680?
GCD of 940, 278, 771, 680 is 1
2. Where do I get the detailed procedure to find GCD of 940, 278, 771, 680?
You can find a detailed procedure to find GCD of 940, 278, 771, 680 on our page.
3. How to find GCD of 940, 278, 771, 680 on a calculator?
You can find the GCD of 940, 278, 771, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.