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 756, 169, 32, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 169, 32, 548 is 1
GCD(756, 169, 32, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 169, 32, 548 is 1
GCD(756, 169, 32, 548) = 1
Given Input numbers are 756, 169, 32, 548
To find the GCD of numbers using factoring list out all the divisors of each number
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 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 756, 169, 32, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 169, 32, 548 is 1.
Therefore, GCD of numbers 756, 169, 32, 548 is 1
Given Input Data is 756, 169, 32, 548
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 169 is 13 x 13
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 548 is 2 x 2 x 137
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(756, 169) = 127764
GCD(756, 169) = ( 756 x 169 ) / 127764
GCD(756, 169) = 127764 / 127764
GCD(756, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 756, 169, 32, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 169, 32, 548?
GCD of 756, 169, 32, 548 is 1
2. Where do I get the detailed procedure to find GCD of 756, 169, 32, 548?
You can find a detailed procedure to find GCD of 756, 169, 32, 548 on our page.
3. How to find GCD of 756, 169, 32, 548 on a calculator?
You can find the GCD of 756, 169, 32, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.