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 245, 537, 70, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 537, 70, 160 is 1
GCD(245, 537, 70, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 537, 70, 160 is 1
GCD(245, 537, 70, 160) = 1
Given Input numbers are 245, 537, 70, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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
Greatest Common Divisior
We found the divisors of 245, 537, 70, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 537, 70, 160 is 1.
Therefore, GCD of numbers 245, 537, 70, 160 is 1
Given Input Data is 245, 537, 70, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 537 is 3 x 179
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(245, 537) = 131565
GCD(245, 537) = ( 245 x 537 ) / 131565
GCD(245, 537) = 131565 / 131565
GCD(245, 537) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 245, 537, 70, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 537, 70, 160?
GCD of 245, 537, 70, 160 is 1
2. Where do I get the detailed procedure to find GCD of 245, 537, 70, 160?
You can find a detailed procedure to find GCD of 245, 537, 70, 160 on our page.
3. How to find GCD of 245, 537, 70, 160 on a calculator?
You can find the GCD of 245, 537, 70, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.