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 964, 546, 56, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 964, 546, 56, 145 is 1
GCD(964, 546, 56, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 546, 56, 145 is 1
GCD(964, 546, 56, 145) = 1
Given Input numbers are 964, 546, 56, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
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 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 964, 546, 56, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 546, 56, 145 is 1.
Therefore, GCD of numbers 964, 546, 56, 145 is 1
Given Input Data is 964, 546, 56, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 145 is 5 x 29
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(964, 546) = 263172
GCD(964, 546) = ( 964 x 546 ) / 263172
GCD(964, 546) = 526344 / 263172
GCD(964, 546) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 56) = 56
GCD(2, 56) = ( 2 x 56 ) / 56
GCD(2, 56) = 112 / 56
GCD(2, 56) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 145) = 290
GCD(2, 145) = ( 2 x 145 ) / 290
GCD(2, 145) = 290 / 290
GCD(2, 145) = 1
GCD of 964, 546, 56, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 546, 56, 145?
GCD of 964, 546, 56, 145 is 1
2. Where do I get the detailed procedure to find GCD of 964, 546, 56, 145?
You can find a detailed procedure to find GCD of 964, 546, 56, 145 on our page.
3. How to find GCD of 964, 546, 56, 145 on a calculator?
You can find the GCD of 964, 546, 56, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.