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, 429, 412, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 429, 412, 552 is 1
GCD(98, 429, 412, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 429, 412, 552 is 1
GCD(98, 429, 412, 552) = 1
Given Input numbers are 98, 429, 412, 552
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 98, 429, 412, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 429, 412, 552 is 1.
Therefore, GCD of numbers 98, 429, 412, 552 is 1
Given Input Data is 98, 429, 412, 552
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 429 is 3 x 11 x 13
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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, 429) = 42042
GCD(98, 429) = ( 98 x 429 ) / 42042
GCD(98, 429) = 42042 / 42042
GCD(98, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 98, 429, 412, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 429, 412, 552?
GCD of 98, 429, 412, 552 is 1
2. Where do I get the detailed procedure to find GCD of 98, 429, 412, 552?
You can find a detailed procedure to find GCD of 98, 429, 412, 552 on our page.
3. How to find GCD of 98, 429, 412, 552 on a calculator?
You can find the GCD of 98, 429, 412, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.