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 354, 505, 362, 763 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 505, 362, 763 is 1
GCD(354, 505, 362, 763) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 505, 362, 763 is 1
GCD(354, 505, 362, 763) = 1
Given Input numbers are 354, 505, 362, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 354, 505, 362, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 505, 362, 763 is 1.
Therefore, GCD of numbers 354, 505, 362, 763 is 1
Given Input Data is 354, 505, 362, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 505 is 5 x 101
Prime Factorization of 362 is 2 x 181
Prime Factorization of 763 is 7 x 109
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(354, 505) = 178770
GCD(354, 505) = ( 354 x 505 ) / 178770
GCD(354, 505) = 178770 / 178770
GCD(354, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 763) = 763
GCD(1, 763) = ( 1 x 763 ) / 763
GCD(1, 763) = 763 / 763
GCD(1, 763) = 1
GCD of 354, 505, 362, 763 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 505, 362, 763?
GCD of 354, 505, 362, 763 is 1
2. Where do I get the detailed procedure to find GCD of 354, 505, 362, 763?
You can find a detailed procedure to find GCD of 354, 505, 362, 763 on our page.
3. How to find GCD of 354, 505, 362, 763 on a calculator?
You can find the GCD of 354, 505, 362, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.