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 546, 425, 98, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 425, 98, 462 is 1
GCD(546, 425, 98, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 425, 98, 462 is 1
GCD(546, 425, 98, 462) = 1
Given Input numbers are 546, 425, 98, 462
To find the GCD of numbers using factoring list out all the divisors of each number
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 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 546, 425, 98, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 425, 98, 462 is 1.
Therefore, GCD of numbers 546, 425, 98, 462 is 1
Given Input Data is 546, 425, 98, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(546, 425) = 232050
GCD(546, 425) = ( 546 x 425 ) / 232050
GCD(546, 425) = 232050 / 232050
GCD(546, 425) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 98) = 98
GCD(1, 98) = ( 1 x 98 ) / 98
GCD(1, 98) = 98 / 98
GCD(1, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 546, 425, 98, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 425, 98, 462?
GCD of 546, 425, 98, 462 is 1
2. Where do I get the detailed procedure to find GCD of 546, 425, 98, 462?
You can find a detailed procedure to find GCD of 546, 425, 98, 462 on our page.
3. How to find GCD of 546, 425, 98, 462 on a calculator?
You can find the GCD of 546, 425, 98, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.