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 136, 525, 77, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 136, 525, 77, 427 is 1
GCD(136, 525, 77, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 136, 525, 77, 427 is 1
GCD(136, 525, 77, 427) = 1
Given Input numbers are 136, 525, 77, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 136, 525, 77, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 525, 77, 427 is 1.
Therefore, GCD of numbers 136, 525, 77, 427 is 1
Given Input Data is 136, 525, 77, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 77 is 7 x 11
Prime Factorization of 427 is 7 x 61
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(136, 525) = 71400
GCD(136, 525) = ( 136 x 525 ) / 71400
GCD(136, 525) = 71400 / 71400
GCD(136, 525) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 136, 525, 77, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 136, 525, 77, 427?
GCD of 136, 525, 77, 427 is 1
2. Where do I get the detailed procedure to find GCD of 136, 525, 77, 427?
You can find a detailed procedure to find GCD of 136, 525, 77, 427 on our page.
3. How to find GCD of 136, 525, 77, 427 on a calculator?
You can find the GCD of 136, 525, 77, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.