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 354, 669, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 669, 700 is 1
GCD(354, 669, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 669, 700 is 1
GCD(354, 669, 700) = 1
Given Input numbers are 354, 669, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
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
Greatest Common Divisior
We found the divisors of 354, 669, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 669, 700 is 1.
Therefore, GCD of numbers 354, 669, 700 is 1
Given Input Data is 354, 669, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 669 is 3 x 223
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(354, 669) = 78942
GCD(354, 669) = ( 354 x 669 ) / 78942
GCD(354, 669) = 236826 / 78942
GCD(354, 669) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 700) = 2100
GCD(3, 700) = ( 3 x 700 ) / 2100
GCD(3, 700) = 2100 / 2100
GCD(3, 700) = 1
GCD of 354, 669, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 669, 700?
GCD of 354, 669, 700 is 1
2. Where do I get the detailed procedure to find GCD of 354, 669, 700?
You can find a detailed procedure to find GCD of 354, 669, 700 on our page.
3. How to find GCD of 354, 669, 700 on a calculator?
You can find the GCD of 354, 669, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.