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 649, 448, 844, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 448, 844, 974 is 1
GCD(649, 448, 844, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 448, 844, 974 is 1
GCD(649, 448, 844, 974) = 1
Given Input numbers are 649, 448, 844, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 649, 448, 844, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 448, 844, 974 is 1.
Therefore, GCD of numbers 649, 448, 844, 974 is 1
Given Input Data is 649, 448, 844, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 974 is 2 x 487
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(649, 448) = 290752
GCD(649, 448) = ( 649 x 448 ) / 290752
GCD(649, 448) = 290752 / 290752
GCD(649, 448) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 649, 448, 844, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 448, 844, 974?
GCD of 649, 448, 844, 974 is 1
2. Where do I get the detailed procedure to find GCD of 649, 448, 844, 974?
You can find a detailed procedure to find GCD of 649, 448, 844, 974 on our page.
3. How to find GCD of 649, 448, 844, 974 on a calculator?
You can find the GCD of 649, 448, 844, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.