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 553, 952, 962, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 952, 962, 792 is 1
GCD(553, 952, 962, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 952, 962, 792 is 1
GCD(553, 952, 962, 792) = 1
Given Input numbers are 553, 952, 962, 792
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
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 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 553, 952, 962, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 952, 962, 792 is 1.
Therefore, GCD of numbers 553, 952, 962, 792 is 1
Given Input Data is 553, 952, 962, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
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(553, 952) = 75208
GCD(553, 952) = ( 553 x 952 ) / 75208
GCD(553, 952) = 526456 / 75208
GCD(553, 952) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 962) = 6734
GCD(7, 962) = ( 7 x 962 ) / 6734
GCD(7, 962) = 6734 / 6734
GCD(7, 962) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 553, 952, 962, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 952, 962, 792?
GCD of 553, 952, 962, 792 is 1
2. Where do I get the detailed procedure to find GCD of 553, 952, 962, 792?
You can find a detailed procedure to find GCD of 553, 952, 962, 792 on our page.
3. How to find GCD of 553, 952, 962, 792 on a calculator?
You can find the GCD of 553, 952, 962, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.