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 696, 754, 51, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 754, 51, 101 is 1
GCD(696, 754, 51, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 754, 51, 101 is 1
GCD(696, 754, 51, 101) = 1
Given Input numbers are 696, 754, 51, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 696, 754, 51, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 754, 51, 101 is 1.
Therefore, GCD of numbers 696, 754, 51, 101 is 1
Given Input Data is 696, 754, 51, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 51 is 3 x 17
Prime Factorization of 101 is 101
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(696, 754) = 9048
GCD(696, 754) = ( 696 x 754 ) / 9048
GCD(696, 754) = 524784 / 9048
GCD(696, 754) = 58
Step2:
Here we consider the GCD from the above i.e. 58 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(58, 51) = 2958
GCD(58, 51) = ( 58 x 51 ) / 2958
GCD(58, 51) = 2958 / 2958
GCD(58, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 696, 754, 51, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 754, 51, 101?
GCD of 696, 754, 51, 101 is 1
2. Where do I get the detailed procedure to find GCD of 696, 754, 51, 101?
You can find a detailed procedure to find GCD of 696, 754, 51, 101 on our page.
3. How to find GCD of 696, 754, 51, 101 on a calculator?
You can find the GCD of 696, 754, 51, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.