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 764, 384, 57, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 764, 384, 57, 202 is 1
GCD(764, 384, 57, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 764, 384, 57, 202 is 1
GCD(764, 384, 57, 202) = 1
Given Input numbers are 764, 384, 57, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 764, 384, 57, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 384, 57, 202 is 1.
Therefore, GCD of numbers 764, 384, 57, 202 is 1
Given Input Data is 764, 384, 57, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 57 is 3 x 19
Prime Factorization of 202 is 2 x 101
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(764, 384) = 73344
GCD(764, 384) = ( 764 x 384 ) / 73344
GCD(764, 384) = 293376 / 73344
GCD(764, 384) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 57) = 228
GCD(4, 57) = ( 4 x 57 ) / 228
GCD(4, 57) = 228 / 228
GCD(4, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
GCD(1, 202) = 202 / 202
GCD(1, 202) = 1
GCD of 764, 384, 57, 202 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 764, 384, 57, 202?
GCD of 764, 384, 57, 202 is 1
2. Where do I get the detailed procedure to find GCD of 764, 384, 57, 202?
You can find a detailed procedure to find GCD of 764, 384, 57, 202 on our page.
3. How to find GCD of 764, 384, 57, 202 on a calculator?
You can find the GCD of 764, 384, 57, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.