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 703, 897, 490, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 703, 897, 490, 949 is 1
GCD(703, 897, 490, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 703, 897, 490, 949 is 1
GCD(703, 897, 490, 949) = 1
Given Input numbers are 703, 897, 490, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 703, 897, 490, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 897, 490, 949 is 1.
Therefore, GCD of numbers 703, 897, 490, 949 is 1
Given Input Data is 703, 897, 490, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 703 is 19 x 37
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 949 is 13 x 73
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(703, 897) = 630591
GCD(703, 897) = ( 703 x 897 ) / 630591
GCD(703, 897) = 630591 / 630591
GCD(703, 897) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 703, 897, 490, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 703, 897, 490, 949?
GCD of 703, 897, 490, 949 is 1
2. Where do I get the detailed procedure to find GCD of 703, 897, 490, 949?
You can find a detailed procedure to find GCD of 703, 897, 490, 949 on our page.
3. How to find GCD of 703, 897, 490, 949 on a calculator?
You can find the GCD of 703, 897, 490, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.