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 968, 435, 71, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 968, 435, 71, 145 is 1
GCD(968, 435, 71, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 968, 435, 71, 145 is 1
GCD(968, 435, 71, 145) = 1
Given Input numbers are 968, 435, 71, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 968, 435, 71, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 435, 71, 145 is 1.
Therefore, GCD of numbers 968, 435, 71, 145 is 1
Given Input Data is 968, 435, 71, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 71 is 71
Prime Factorization of 145 is 5 x 29
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(968, 435) = 421080
GCD(968, 435) = ( 968 x 435 ) / 421080
GCD(968, 435) = 421080 / 421080
GCD(968, 435) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 968, 435, 71, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 968, 435, 71, 145?
GCD of 968, 435, 71, 145 is 1
2. Where do I get the detailed procedure to find GCD of 968, 435, 71, 145?
You can find a detailed procedure to find GCD of 968, 435, 71, 145 on our page.
3. How to find GCD of 968, 435, 71, 145 on a calculator?
You can find the GCD of 968, 435, 71, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.