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 160, 769, 90, 490 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 769, 90, 490 is 1
GCD(160, 769, 90, 490) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 769, 90, 490 is 1
GCD(160, 769, 90, 490) = 1
Given Input numbers are 160, 769, 90, 490
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
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
Greatest Common Divisior
We found the divisors of 160, 769, 90, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 769, 90, 490 is 1.
Therefore, GCD of numbers 160, 769, 90, 490 is 1
Given Input Data is 160, 769, 90, 490
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 769 is 769
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 490 is 2 x 5 x 7 x 7
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(160, 769) = 123040
GCD(160, 769) = ( 160 x 769 ) / 123040
GCD(160, 769) = 123040 / 123040
GCD(160, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
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
GCD of 160, 769, 90, 490 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 769, 90, 490?
GCD of 160, 769, 90, 490 is 1
2. Where do I get the detailed procedure to find GCD of 160, 769, 90, 490?
You can find a detailed procedure to find GCD of 160, 769, 90, 490 on our page.
3. How to find GCD of 160, 769, 90, 490 on a calculator?
You can find the GCD of 160, 769, 90, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.