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 704, 942, 245, 573 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 942, 245, 573 is 1
GCD(704, 942, 245, 573) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 942, 245, 573 is 1
GCD(704, 942, 245, 573) = 1
Given Input numbers are 704, 942, 245, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 704, 942, 245, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 942, 245, 573 is 1.
Therefore, GCD of numbers 704, 942, 245, 573 is 1
Given Input Data is 704, 942, 245, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 573 is 3 x 191
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(704, 942) = 331584
GCD(704, 942) = ( 704 x 942 ) / 331584
GCD(704, 942) = 663168 / 331584
GCD(704, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 1
GCD of 704, 942, 245, 573 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 704, 942, 245, 573?
GCD of 704, 942, 245, 573 is 1
2. Where do I get the detailed procedure to find GCD of 704, 942, 245, 573?
You can find a detailed procedure to find GCD of 704, 942, 245, 573 on our page.
3. How to find GCD of 704, 942, 245, 573 on a calculator?
You can find the GCD of 704, 942, 245, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.