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 642, 402, 756, 196 i.e. 2 largest integer that divides all the numbers equally.
GCD of 642, 402, 756, 196 is 2
GCD(642, 402, 756, 196) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 402, 756, 196 is 2
GCD(642, 402, 756, 196) = 2
Given Input numbers are 642, 402, 756, 196
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
Greatest Common Divisior
We found the divisors of 642, 402, 756, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 402, 756, 196 is 2.
Therefore, GCD of numbers 642, 402, 756, 196 is 2
Given Input Data is 642, 402, 756, 196
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 196 is 2 x 2 x 7 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(642, 402) = 43014
GCD(642, 402) = ( 642 x 402 ) / 43014
GCD(642, 402) = 258084 / 43014
GCD(642, 402) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 756) = 756
GCD(6, 756) = ( 6 x 756 ) / 756
GCD(6, 756) = 4536 / 756
GCD(6, 756) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 196) = 588
GCD(6, 196) = ( 6 x 196 ) / 588
GCD(6, 196) = 1176 / 588
GCD(6, 196) = 2
GCD of 642, 402, 756, 196 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 402, 756, 196?
GCD of 642, 402, 756, 196 is 2
2. Where do I get the detailed procedure to find GCD of 642, 402, 756, 196?
You can find a detailed procedure to find GCD of 642, 402, 756, 196 on our page.
3. How to find GCD of 642, 402, 756, 196 on a calculator?
You can find the GCD of 642, 402, 756, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.