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, 690, 64, 611 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 690, 64, 611 is 1
GCD(940, 690, 64, 611) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 690, 64, 611 is 1
GCD(940, 690, 64, 611) = 1
Given Input numbers are 940, 690, 64, 611
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 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Greatest Common Divisior
We found the divisors of 940, 690, 64, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 690, 64, 611 is 1.
Therefore, GCD of numbers 940, 690, 64, 611 is 1
Given Input Data is 940, 690, 64, 611
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 690 is 2 x 3 x 5 x 23
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 611 is 13 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(940, 690) = 64860
GCD(940, 690) = ( 940 x 690 ) / 64860
GCD(940, 690) = 648600 / 64860
GCD(940, 690) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 64) = 320
GCD(10, 64) = ( 10 x 64 ) / 320
GCD(10, 64) = 640 / 320
GCD(10, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 611) = 1222
GCD(2, 611) = ( 2 x 611 ) / 1222
GCD(2, 611) = 1222 / 1222
GCD(2, 611) = 1
GCD of 940, 690, 64, 611 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 690, 64, 611?
GCD of 940, 690, 64, 611 is 1
2. Where do I get the detailed procedure to find GCD of 940, 690, 64, 611?
You can find a detailed procedure to find GCD of 940, 690, 64, 611 on our page.
3. How to find GCD of 940, 690, 64, 611 on a calculator?
You can find the GCD of 940, 690, 64, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.