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 56, 446, 141, 964 i.e. 1 largest integer that divides all the numbers equally.
GCD of 56, 446, 141, 964 is 1
GCD(56, 446, 141, 964) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 446, 141, 964 is 1
GCD(56, 446, 141, 964) = 1
Given Input numbers are 56, 446, 141, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 56, 446, 141, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 446, 141, 964 is 1.
Therefore, GCD of numbers 56, 446, 141, 964 is 1
Given Input Data is 56, 446, 141, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 446 is 2 x 223
Prime Factorization of 141 is 3 x 47
Prime Factorization of 964 is 2 x 2 x 241
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(56, 446) = 12488
GCD(56, 446) = ( 56 x 446 ) / 12488
GCD(56, 446) = 24976 / 12488
GCD(56, 446) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
GCD(1, 964) = 964 / 964
GCD(1, 964) = 1
GCD of 56, 446, 141, 964 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 446, 141, 964?
GCD of 56, 446, 141, 964 is 1
2. Where do I get the detailed procedure to find GCD of 56, 446, 141, 964?
You can find a detailed procedure to find GCD of 56, 446, 141, 964 on our page.
3. How to find GCD of 56, 446, 141, 964 on a calculator?
You can find the GCD of 56, 446, 141, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.