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 659, 670, 71, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 670, 71, 776 is 1
GCD(659, 670, 71, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 670, 71, 776 is 1
GCD(659, 670, 71, 776) = 1
Given Input numbers are 659, 670, 71, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
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 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
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 659, 670, 71, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 670, 71, 776 is 1.
Therefore, GCD of numbers 659, 670, 71, 776 is 1
Given Input Data is 659, 670, 71, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 71 is 71
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(659, 670) = 441530
GCD(659, 670) = ( 659 x 670 ) / 441530
GCD(659, 670) = 441530 / 441530
GCD(659, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
GCD of 659, 670, 71, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 670, 71, 776?
GCD of 659, 670, 71, 776 is 1
2. Where do I get the detailed procedure to find GCD of 659, 670, 71, 776?
You can find a detailed procedure to find GCD of 659, 670, 71, 776 on our page.
3. How to find GCD of 659, 670, 71, 776 on a calculator?
You can find the GCD of 659, 670, 71, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.