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 569, 670, 74, 688 i.e. 1 largest integer that divides all the numbers equally.
GCD of 569, 670, 74, 688 is 1
GCD(569, 670, 74, 688) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 569, 670, 74, 688 is 1
GCD(569, 670, 74, 688) = 1
Given Input numbers are 569, 670, 74, 688
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
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 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Greatest Common Divisior
We found the divisors of 569, 670, 74, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 670, 74, 688 is 1.
Therefore, GCD of numbers 569, 670, 74, 688 is 1
Given Input Data is 569, 670, 74, 688
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 569 is 569
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 74 is 2 x 37
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
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(569, 670) = 381230
GCD(569, 670) = ( 569 x 670 ) / 381230
GCD(569, 670) = 381230 / 381230
GCD(569, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
GCD(1, 688) = 688 / 688
GCD(1, 688) = 1
GCD of 569, 670, 74, 688 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 569, 670, 74, 688?
GCD of 569, 670, 74, 688 is 1
2. Where do I get the detailed procedure to find GCD of 569, 670, 74, 688?
You can find a detailed procedure to find GCD of 569, 670, 74, 688 on our page.
3. How to find GCD of 569, 670, 74, 688 on a calculator?
You can find the GCD of 569, 670, 74, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.