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, 434, 632, 378 i.e. 2 largest integer that divides all the numbers equally.
GCD of 98, 434, 632, 378 is 2
GCD(98, 434, 632, 378) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 434, 632, 378 is 2
GCD(98, 434, 632, 378) = 2
Given Input numbers are 98, 434, 632, 378
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 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Greatest Common Divisior
We found the divisors of 98, 434, 632, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 434, 632, 378 is 2.
Therefore, GCD of numbers 98, 434, 632, 378 is 2
Given Input Data is 98, 434, 632, 378
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 434 is 2 x 7 x 31
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 434) = 3038
GCD(98, 434) = ( 98 x 434 ) / 3038
GCD(98, 434) = 42532 / 3038
GCD(98, 434) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 632) = 4424
GCD(14, 632) = ( 14 x 632 ) / 4424
GCD(14, 632) = 8848 / 4424
GCD(14, 632) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
GCD(2, 378) = 756 / 378
GCD(2, 378) = 2
GCD of 98, 434, 632, 378 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 434, 632, 378?
GCD of 98, 434, 632, 378 is 2
2. Where do I get the detailed procedure to find GCD of 98, 434, 632, 378?
You can find a detailed procedure to find GCD of 98, 434, 632, 378 on our page.
3. How to find GCD of 98, 434, 632, 378 on a calculator?
You can find the GCD of 98, 434, 632, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.