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, 376, 772, 419 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 376, 772, 419 is 1
GCD(700, 376, 772, 419) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 376, 772, 419 is 1
GCD(700, 376, 772, 419) = 1
Given Input numbers are 700, 376, 772, 419
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 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Greatest Common Divisior
We found the divisors of 700, 376, 772, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 376, 772, 419 is 1.
Therefore, GCD of numbers 700, 376, 772, 419 is 1
Given Input Data is 700, 376, 772, 419
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 376 is 2 x 2 x 2 x 47
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 419 is 419
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, 376) = 65800
GCD(700, 376) = ( 700 x 376 ) / 65800
GCD(700, 376) = 263200 / 65800
GCD(700, 376) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 772) = 772
GCD(4, 772) = ( 4 x 772 ) / 772
GCD(4, 772) = 3088 / 772
GCD(4, 772) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 419) = 1676
GCD(4, 419) = ( 4 x 419 ) / 1676
GCD(4, 419) = 1676 / 1676
GCD(4, 419) = 1
GCD of 700, 376, 772, 419 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 376, 772, 419?
GCD of 700, 376, 772, 419 is 1
2. Where do I get the detailed procedure to find GCD of 700, 376, 772, 419?
You can find a detailed procedure to find GCD of 700, 376, 772, 419 on our page.
3. How to find GCD of 700, 376, 772, 419 on a calculator?
You can find the GCD of 700, 376, 772, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.