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 552, 701, 47, 214 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 701, 47, 214 is 1
GCD(552, 701, 47, 214) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 701, 47, 214 is 1
GCD(552, 701, 47, 214) = 1
Given Input numbers are 552, 701, 47, 214
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Greatest Common Divisior
We found the divisors of 552, 701, 47, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 701, 47, 214 is 1.
Therefore, GCD of numbers 552, 701, 47, 214 is 1
Given Input Data is 552, 701, 47, 214
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 701 is 701
Prime Factorization of 47 is 47
Prime Factorization of 214 is 2 x 107
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(552, 701) = 386952
GCD(552, 701) = ( 552 x 701 ) / 386952
GCD(552, 701) = 386952 / 386952
GCD(552, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 214) = 214
GCD(1, 214) = ( 1 x 214 ) / 214
GCD(1, 214) = 214 / 214
GCD(1, 214) = 1
GCD of 552, 701, 47, 214 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 701, 47, 214?
GCD of 552, 701, 47, 214 is 1
2. Where do I get the detailed procedure to find GCD of 552, 701, 47, 214?
You can find a detailed procedure to find GCD of 552, 701, 47, 214 on our page.
3. How to find GCD of 552, 701, 47, 214 on a calculator?
You can find the GCD of 552, 701, 47, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.