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 671, 756, 49, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 671, 756, 49, 654 is 1
GCD(671, 756, 49, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 671, 756, 49, 654 is 1
GCD(671, 756, 49, 654) = 1
Given Input numbers are 671, 756, 49, 654
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 671, 756, 49, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 756, 49, 654 is 1.
Therefore, GCD of numbers 671, 756, 49, 654 is 1
Given Input Data is 671, 756, 49, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 671 is 11 x 61
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 49 is 7 x 7
Prime Factorization of 654 is 2 x 3 x 109
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(671, 756) = 507276
GCD(671, 756) = ( 671 x 756 ) / 507276
GCD(671, 756) = 507276 / 507276
GCD(671, 756) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 671, 756, 49, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 671, 756, 49, 654?
GCD of 671, 756, 49, 654 is 1
2. Where do I get the detailed procedure to find GCD of 671, 756, 49, 654?
You can find a detailed procedure to find GCD of 671, 756, 49, 654 on our page.
3. How to find GCD of 671, 756, 49, 654 on a calculator?
You can find the GCD of 671, 756, 49, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.