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 570, 670, 845, 635 i.e. 5 largest integer that divides all the numbers equally.
GCD of 570, 670, 845, 635 is 5
GCD(570, 670, 845, 635) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 670, 845, 635 is 5
GCD(570, 670, 845, 635) = 5
Given Input numbers are 570, 670, 845, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
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 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 570, 670, 845, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 670, 845, 635 is 5.
Therefore, GCD of numbers 570, 670, 845, 635 is 5
Given Input Data is 570, 670, 845, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 635 is 5 x 127
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(570, 670) = 38190
GCD(570, 670) = ( 570 x 670 ) / 38190
GCD(570, 670) = 381900 / 38190
GCD(570, 670) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 845) = 1690
GCD(10, 845) = ( 10 x 845 ) / 1690
GCD(10, 845) = 8450 / 1690
GCD(10, 845) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 635) = 635
GCD(5, 635) = ( 5 x 635 ) / 635
GCD(5, 635) = 3175 / 635
GCD(5, 635) = 5
GCD of 570, 670, 845, 635 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 670, 845, 635?
GCD of 570, 670, 845, 635 is 5
2. Where do I get the detailed procedure to find GCD of 570, 670, 845, 635?
You can find a detailed procedure to find GCD of 570, 670, 845, 635 on our page.
3. How to find GCD of 570, 670, 845, 635 on a calculator?
You can find the GCD of 570, 670, 845, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.