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 61, 126, 532, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 126, 532, 648 is 1
GCD(61, 126, 532, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 126, 532, 648 is 1
GCD(61, 126, 532, 648) = 1
Given Input numbers are 61, 126, 532, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 61, 126, 532, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 126, 532, 648 is 1.
Therefore, GCD of numbers 61, 126, 532, 648 is 1
Given Input Data is 61, 126, 532, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(61, 126) = 7686
GCD(61, 126) = ( 61 x 126 ) / 7686
GCD(61, 126) = 7686 / 7686
GCD(61, 126) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 532) = 532
GCD(1, 532) = ( 1 x 532 ) / 532
GCD(1, 532) = 532 / 532
GCD(1, 532) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 61, 126, 532, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 126, 532, 648?
GCD of 61, 126, 532, 648 is 1
2. Where do I get the detailed procedure to find GCD of 61, 126, 532, 648?
You can find a detailed procedure to find GCD of 61, 126, 532, 648 on our page.
3. How to find GCD of 61, 126, 532, 648 on a calculator?
You can find the GCD of 61, 126, 532, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.