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 67, 318, 972, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 318, 972, 751 is 1
GCD(67, 318, 972, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 318, 972, 751 is 1
GCD(67, 318, 972, 751) = 1
Given Input numbers are 67, 318, 972, 751
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Greatest Common Divisior
We found the divisors of 67, 318, 972, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 318, 972, 751 is 1.
Therefore, GCD of numbers 67, 318, 972, 751 is 1
Given Input Data is 67, 318, 972, 751
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 751 is 751
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(67, 318) = 21306
GCD(67, 318) = ( 67 x 318 ) / 21306
GCD(67, 318) = 21306 / 21306
GCD(67, 318) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 751) = 751
GCD(1, 751) = ( 1 x 751 ) / 751
GCD(1, 751) = 751 / 751
GCD(1, 751) = 1
GCD of 67, 318, 972, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 318, 972, 751?
GCD of 67, 318, 972, 751 is 1
2. Where do I get the detailed procedure to find GCD of 67, 318, 972, 751?
You can find a detailed procedure to find GCD of 67, 318, 972, 751 on our page.
3. How to find GCD of 67, 318, 972, 751 on a calculator?
You can find the GCD of 67, 318, 972, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.