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 374, 707, 84, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 374, 707, 84, 613 is 1
GCD(374, 707, 84, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 374, 707, 84, 613 is 1
GCD(374, 707, 84, 613) = 1
Given Input numbers are 374, 707, 84, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Greatest Common Divisior
We found the divisors of 374, 707, 84, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 707, 84, 613 is 1.
Therefore, GCD of numbers 374, 707, 84, 613 is 1
Given Input Data is 374, 707, 84, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 707 is 7 x 101
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 613 is 613
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(374, 707) = 264418
GCD(374, 707) = ( 374 x 707 ) / 264418
GCD(374, 707) = 264418 / 264418
GCD(374, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 613) = 613
GCD(1, 613) = ( 1 x 613 ) / 613
GCD(1, 613) = 613 / 613
GCD(1, 613) = 1
GCD of 374, 707, 84, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 374, 707, 84, 613?
GCD of 374, 707, 84, 613 is 1
2. Where do I get the detailed procedure to find GCD of 374, 707, 84, 613?
You can find a detailed procedure to find GCD of 374, 707, 84, 613 on our page.
3. How to find GCD of 374, 707, 84, 613 on a calculator?
You can find the GCD of 374, 707, 84, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.