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 640, 697, 134, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 697, 134, 130 is 1
GCD(640, 697, 134, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 697, 134, 130 is 1
GCD(640, 697, 134, 130) = 1
Given Input numbers are 640, 697, 134, 130
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 640, 697, 134, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 697, 134, 130 is 1.
Therefore, GCD of numbers 640, 697, 134, 130 is 1
Given Input Data is 640, 697, 134, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 697 is 17 x 41
Prime Factorization of 134 is 2 x 67
Prime Factorization of 130 is 2 x 5 x 13
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(640, 697) = 446080
GCD(640, 697) = ( 640 x 697 ) / 446080
GCD(640, 697) = 446080 / 446080
GCD(640, 697) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 640, 697, 134, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 697, 134, 130?
GCD of 640, 697, 134, 130 is 1
2. Where do I get the detailed procedure to find GCD of 640, 697, 134, 130?
You can find a detailed procedure to find GCD of 640, 697, 134, 130 on our page.
3. How to find GCD of 640, 697, 134, 130 on a calculator?
You can find the GCD of 640, 697, 134, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.