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 282, 734, 967, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 282, 734, 967, 962 is 1
GCD(282, 734, 967, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 282, 734, 967, 962 is 1
GCD(282, 734, 967, 962) = 1
Given Input numbers are 282, 734, 967, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 282, 734, 967, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 734, 967, 962 is 1.
Therefore, GCD of numbers 282, 734, 967, 962 is 1
Given Input Data is 282, 734, 967, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 734 is 2 x 367
Prime Factorization of 967 is 967
Prime Factorization of 962 is 2 x 13 x 37
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(282, 734) = 103494
GCD(282, 734) = ( 282 x 734 ) / 103494
GCD(282, 734) = 206988 / 103494
GCD(282, 734) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 967) = 1934
GCD(2, 967) = ( 2 x 967 ) / 1934
GCD(2, 967) = 1934 / 1934
GCD(2, 967) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 282, 734, 967, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 282, 734, 967, 962?
GCD of 282, 734, 967, 962 is 1
2. Where do I get the detailed procedure to find GCD of 282, 734, 967, 962?
You can find a detailed procedure to find GCD of 282, 734, 967, 962 on our page.
3. How to find GCD of 282, 734, 967, 962 on a calculator?
You can find the GCD of 282, 734, 967, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.