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 70, 572, 143, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 572, 143, 114 is 1
GCD(70, 572, 143, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 572, 143, 114 is 1
GCD(70, 572, 143, 114) = 1
Given Input numbers are 70, 572, 143, 114
To find the GCD of numbers using factoring list out all the divisors of each number
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 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 70, 572, 143, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 572, 143, 114 is 1.
Therefore, GCD of numbers 70, 572, 143, 114 is 1
Given Input Data is 70, 572, 143, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 143 is 11 x 13
Prime Factorization of 114 is 2 x 3 x 19
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(70, 572) = 20020
GCD(70, 572) = ( 70 x 572 ) / 20020
GCD(70, 572) = 40040 / 20020
GCD(70, 572) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
GCD(2, 143) = 286 / 286
GCD(2, 143) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 70, 572, 143, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 572, 143, 114?
GCD of 70, 572, 143, 114 is 1
2. Where do I get the detailed procedure to find GCD of 70, 572, 143, 114?
You can find a detailed procedure to find GCD of 70, 572, 143, 114 on our page.
3. How to find GCD of 70, 572, 143, 114 on a calculator?
You can find the GCD of 70, 572, 143, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.