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 700, 761, 611, 613 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 761, 611, 613 is 1
GCD(700, 761, 611, 613) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 761, 611, 613 is 1
GCD(700, 761, 611, 613) = 1
Given Input numbers are 700, 761, 611, 613
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
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 700, 761, 611, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 761, 611, 613 is 1.
Therefore, GCD of numbers 700, 761, 611, 613 is 1
Given Input Data is 700, 761, 611, 613
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 761 is 761
Prime Factorization of 611 is 13 x 47
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(700, 761) = 532700
GCD(700, 761) = ( 700 x 761 ) / 532700
GCD(700, 761) = 532700 / 532700
GCD(700, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 611) = 611
GCD(1, 611) = ( 1 x 611 ) / 611
GCD(1, 611) = 611 / 611
GCD(1, 611) = 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 700, 761, 611, 613 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 761, 611, 613?
GCD of 700, 761, 611, 613 is 1
2. Where do I get the detailed procedure to find GCD of 700, 761, 611, 613?
You can find a detailed procedure to find GCD of 700, 761, 611, 613 on our page.
3. How to find GCD of 700, 761, 611, 613 on a calculator?
You can find the GCD of 700, 761, 611, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.