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, 661, 386, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 661, 386, 212 is 1
GCD(700, 661, 386, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 661, 386, 212 is 1
GCD(700, 661, 386, 212) = 1
Given Input numbers are 700, 661, 386, 212
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 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 700, 661, 386, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 661, 386, 212 is 1.
Therefore, GCD of numbers 700, 661, 386, 212 is 1
Given Input Data is 700, 661, 386, 212
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 661 is 661
Prime Factorization of 386 is 2 x 193
Prime Factorization of 212 is 2 x 2 x 53
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, 661) = 462700
GCD(700, 661) = ( 700 x 661 ) / 462700
GCD(700, 661) = 462700 / 462700
GCD(700, 661) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 700, 661, 386, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 661, 386, 212?
GCD of 700, 661, 386, 212 is 1
2. Where do I get the detailed procedure to find GCD of 700, 661, 386, 212?
You can find a detailed procedure to find GCD of 700, 661, 386, 212 on our page.
3. How to find GCD of 700, 661, 386, 212 on a calculator?
You can find the GCD of 700, 661, 386, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.