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 616, 436, 65, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 436, 65, 157 is 1
GCD(616, 436, 65, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 436, 65, 157 is 1
GCD(616, 436, 65, 157) = 1
Given Input numbers are 616, 436, 65, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 616, 436, 65, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 436, 65, 157 is 1.
Therefore, GCD of numbers 616, 436, 65, 157 is 1
Given Input Data is 616, 436, 65, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 65 is 5 x 13
Prime Factorization of 157 is 157
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(616, 436) = 67144
GCD(616, 436) = ( 616 x 436 ) / 67144
GCD(616, 436) = 268576 / 67144
GCD(616, 436) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 65) = 260
GCD(4, 65) = ( 4 x 65 ) / 260
GCD(4, 65) = 260 / 260
GCD(4, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 616, 436, 65, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 436, 65, 157?
GCD of 616, 436, 65, 157 is 1
2. Where do I get the detailed procedure to find GCD of 616, 436, 65, 157?
You can find a detailed procedure to find GCD of 616, 436, 65, 157 on our page.
3. How to find GCD of 616, 436, 65, 157 on a calculator?
You can find the GCD of 616, 436, 65, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.