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 588, 546, 757, 196 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 546, 757, 196 is 1
GCD(588, 546, 757, 196) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 546, 757, 196 is 1
GCD(588, 546, 757, 196) = 1
Given Input numbers are 588, 546, 757, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
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 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Greatest Common Divisior
We found the divisors of 588, 546, 757, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 546, 757, 196 is 1.
Therefore, GCD of numbers 588, 546, 757, 196 is 1
Given Input Data is 588, 546, 757, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 757 is 757
Prime Factorization of 196 is 2 x 2 x 7 x 7
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(588, 546) = 7644
GCD(588, 546) = ( 588 x 546 ) / 7644
GCD(588, 546) = 321048 / 7644
GCD(588, 546) = 42
Step2:
Here we consider the GCD from the above i.e. 42 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(42, 757) = 31794
GCD(42, 757) = ( 42 x 757 ) / 31794
GCD(42, 757) = 31794 / 31794
GCD(42, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
GCD(1, 196) = 196 / 196
GCD(1, 196) = 1
GCD of 588, 546, 757, 196 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 546, 757, 196?
GCD of 588, 546, 757, 196 is 1
2. Where do I get the detailed procedure to find GCD of 588, 546, 757, 196?
You can find a detailed procedure to find GCD of 588, 546, 757, 196 on our page.
3. How to find GCD of 588, 546, 757, 196 on a calculator?
You can find the GCD of 588, 546, 757, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.