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 196, 362, 707, 828 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 362, 707, 828 is 1
GCD(196, 362, 707, 828) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 362, 707, 828 is 1
GCD(196, 362, 707, 828) = 1
Given Input numbers are 196, 362, 707, 828
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Greatest Common Divisior
We found the divisors of 196, 362, 707, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 362, 707, 828 is 1.
Therefore, GCD of numbers 196, 362, 707, 828 is 1
Given Input Data is 196, 362, 707, 828
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 362 is 2 x 181
Prime Factorization of 707 is 7 x 101
Prime Factorization of 828 is 2 x 2 x 3 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(196, 362) = 35476
GCD(196, 362) = ( 196 x 362 ) / 35476
GCD(196, 362) = 70952 / 35476
GCD(196, 362) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
GCD of 196, 362, 707, 828 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 362, 707, 828?
GCD of 196, 362, 707, 828 is 1
2. Where do I get the detailed procedure to find GCD of 196, 362, 707, 828?
You can find a detailed procedure to find GCD of 196, 362, 707, 828 on our page.
3. How to find GCD of 196, 362, 707, 828 on a calculator?
You can find the GCD of 196, 362, 707, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.