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 98, 224, 534, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 224, 534, 861 is 1
GCD(98, 224, 534, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 224, 534, 861 is 1
GCD(98, 224, 534, 861) = 1
Given Input numbers are 98, 224, 534, 861
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 98, 224, 534, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 224, 534, 861 is 1.
Therefore, GCD of numbers 98, 224, 534, 861 is 1
Given Input Data is 98, 224, 534, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 861 is 3 x 7 x 41
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(98, 224) = 1568
GCD(98, 224) = ( 98 x 224 ) / 1568
GCD(98, 224) = 21952 / 1568
GCD(98, 224) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 534) = 3738
GCD(14, 534) = ( 14 x 534 ) / 3738
GCD(14, 534) = 7476 / 3738
GCD(14, 534) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
GCD(2, 861) = 1722 / 1722
GCD(2, 861) = 1
GCD of 98, 224, 534, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 224, 534, 861?
GCD of 98, 224, 534, 861 is 1
2. Where do I get the detailed procedure to find GCD of 98, 224, 534, 861?
You can find a detailed procedure to find GCD of 98, 224, 534, 861 on our page.
3. How to find GCD of 98, 224, 534, 861 on a calculator?
You can find the GCD of 98, 224, 534, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.