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 51, 670, 761, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 670, 761, 940 is 1
GCD(51, 670, 761, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 670, 761, 940 is 1
GCD(51, 670, 761, 940) = 1
Given Input numbers are 51, 670, 761, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
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
Greatest Common Divisior
We found the divisors of 51, 670, 761, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 670, 761, 940 is 1.
Therefore, GCD of numbers 51, 670, 761, 940 is 1
Given Input Data is 51, 670, 761, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 761 is 761
Prime Factorization of 940 is 2 x 2 x 5 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(51, 670) = 34170
GCD(51, 670) = ( 51 x 670 ) / 34170
GCD(51, 670) = 34170 / 34170
GCD(51, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 51, 670, 761, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 670, 761, 940?
GCD of 51, 670, 761, 940 is 1
2. Where do I get the detailed procedure to find GCD of 51, 670, 761, 940?
You can find a detailed procedure to find GCD of 51, 670, 761, 940 on our page.
3. How to find GCD of 51, 670, 761, 940 on a calculator?
You can find the GCD of 51, 670, 761, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.