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 770, 288, 364, 293 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 288, 364, 293 is 1
GCD(770, 288, 364, 293) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 288, 364, 293 is 1
GCD(770, 288, 364, 293) = 1
Given Input numbers are 770, 288, 364, 293
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Greatest Common Divisior
We found the divisors of 770, 288, 364, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 288, 364, 293 is 1.
Therefore, GCD of numbers 770, 288, 364, 293 is 1
Given Input Data is 770, 288, 364, 293
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 293 is 293
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(770, 288) = 110880
GCD(770, 288) = ( 770 x 288 ) / 110880
GCD(770, 288) = 221760 / 110880
GCD(770, 288) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 293) = 586
GCD(2, 293) = ( 2 x 293 ) / 586
GCD(2, 293) = 586 / 586
GCD(2, 293) = 1
GCD of 770, 288, 364, 293 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 288, 364, 293?
GCD of 770, 288, 364, 293 is 1
2. Where do I get the detailed procedure to find GCD of 770, 288, 364, 293?
You can find a detailed procedure to find GCD of 770, 288, 364, 293 on our page.
3. How to find GCD of 770, 288, 364, 293 on a calculator?
You can find the GCD of 770, 288, 364, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.