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 436, 636, 658, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 636, 658, 945 is 1
GCD(436, 636, 658, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 636, 658, 945 is 1
GCD(436, 636, 658, 945) = 1
Given Input numbers are 436, 636, 658, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 436, 636, 658, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 636, 658, 945 is 1.
Therefore, GCD of numbers 436, 636, 658, 945 is 1
Given Input Data is 436, 636, 658, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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(436, 636) = 69324
GCD(436, 636) = ( 436 x 636 ) / 69324
GCD(436, 636) = 277296 / 69324
GCD(436, 636) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 658) = 1316
GCD(4, 658) = ( 4 x 658 ) / 1316
GCD(4, 658) = 2632 / 1316
GCD(4, 658) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 945) = 1890
GCD(2, 945) = ( 2 x 945 ) / 1890
GCD(2, 945) = 1890 / 1890
GCD(2, 945) = 1
GCD of 436, 636, 658, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 636, 658, 945?
GCD of 436, 636, 658, 945 is 1
2. Where do I get the detailed procedure to find GCD of 436, 636, 658, 945?
You can find a detailed procedure to find GCD of 436, 636, 658, 945 on our page.
3. How to find GCD of 436, 636, 658, 945 on a calculator?
You can find the GCD of 436, 636, 658, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.