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 14, 154, 751, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 154, 751, 536 is 1
GCD(14, 154, 751, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 154, 751, 536 is 1
GCD(14, 154, 751, 536) = 1
Given Input numbers are 14, 154, 751, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 14, 154, 751, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 154, 751, 536 is 1.
Therefore, GCD of numbers 14, 154, 751, 536 is 1
Given Input Data is 14, 154, 751, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 751 is 751
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(14, 154) = 154
GCD(14, 154) = ( 14 x 154 ) / 154
GCD(14, 154) = 2156 / 154
GCD(14, 154) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 751) = 10514
GCD(14, 751) = ( 14 x 751 ) / 10514
GCD(14, 751) = 10514 / 10514
GCD(14, 751) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 14, 154, 751, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 154, 751, 536?
GCD of 14, 154, 751, 536 is 1
2. Where do I get the detailed procedure to find GCD of 14, 154, 751, 536?
You can find a detailed procedure to find GCD of 14, 154, 751, 536 on our page.
3. How to find GCD of 14, 154, 751, 536 on a calculator?
You can find the GCD of 14, 154, 751, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.