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 962, 512, 76, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 962, 512, 76, 721 is 1
GCD(962, 512, 76, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 962, 512, 76, 721 is 1
GCD(962, 512, 76, 721) = 1
Given Input numbers are 962, 512, 76, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 962, 512, 76, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 512, 76, 721 is 1.
Therefore, GCD of numbers 962, 512, 76, 721 is 1
Given Input Data is 962, 512, 76, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 721 is 7 x 103
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(962, 512) = 246272
GCD(962, 512) = ( 962 x 512 ) / 246272
GCD(962, 512) = 492544 / 246272
GCD(962, 512) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
GCD(2, 721) = 1442 / 1442
GCD(2, 721) = 1
GCD of 962, 512, 76, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 962, 512, 76, 721?
GCD of 962, 512, 76, 721 is 1
2. Where do I get the detailed procedure to find GCD of 962, 512, 76, 721?
You can find a detailed procedure to find GCD of 962, 512, 76, 721 on our page.
3. How to find GCD of 962, 512, 76, 721 on a calculator?
You can find the GCD of 962, 512, 76, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.