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 410, 971, 70, 136 i.e. 1 largest integer that divides all the numbers equally.
GCD of 410, 971, 70, 136 is 1
GCD(410, 971, 70, 136) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 410, 971, 70, 136 is 1
GCD(410, 971, 70, 136) = 1
Given Input numbers are 410, 971, 70, 136
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 410, 971, 70, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 971, 70, 136 is 1.
Therefore, GCD of numbers 410, 971, 70, 136 is 1
Given Input Data is 410, 971, 70, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 971 is 971
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 136 is 2 x 2 x 2 x 17
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(410, 971) = 398110
GCD(410, 971) = ( 410 x 971 ) / 398110
GCD(410, 971) = 398110 / 398110
GCD(410, 971) = 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 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
GCD of 410, 971, 70, 136 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 410, 971, 70, 136?
GCD of 410, 971, 70, 136 is 1
2. Where do I get the detailed procedure to find GCD of 410, 971, 70, 136?
You can find a detailed procedure to find GCD of 410, 971, 70, 136 on our page.
3. How to find GCD of 410, 971, 70, 136 on a calculator?
You can find the GCD of 410, 971, 70, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.