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 54, 920, 208, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 920, 208, 699 is 1
GCD(54, 920, 208, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 920, 208, 699 is 1
GCD(54, 920, 208, 699) = 1
Given Input numbers are 54, 920, 208, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 54, 920, 208, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 920, 208, 699 is 1.
Therefore, GCD of numbers 54, 920, 208, 699 is 1
Given Input Data is 54, 920, 208, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 699 is 3 x 233
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(54, 920) = 24840
GCD(54, 920) = ( 54 x 920 ) / 24840
GCD(54, 920) = 49680 / 24840
GCD(54, 920) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 208) = 208
GCD(2, 208) = ( 2 x 208 ) / 208
GCD(2, 208) = 416 / 208
GCD(2, 208) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 699) = 1398
GCD(2, 699) = ( 2 x 699 ) / 1398
GCD(2, 699) = 1398 / 1398
GCD(2, 699) = 1
GCD of 54, 920, 208, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 920, 208, 699?
GCD of 54, 920, 208, 699 is 1
2. Where do I get the detailed procedure to find GCD of 54, 920, 208, 699?
You can find a detailed procedure to find GCD of 54, 920, 208, 699 on our page.
3. How to find GCD of 54, 920, 208, 699 on a calculator?
You can find the GCD of 54, 920, 208, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.