Online GCD Calculator is useful to find the GCD of 362, 398, 556, 100 quickly. Get the easiest ways to solve the greatest common divisor of 362, 398, 556, 100 i.e 2 in different methods as follows.
Given Input numbers are 362, 398, 556, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (362, 398, 556, 100) = 2.
Given numbers are 362, 398, 556, 100
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 398 are 2 x 199
Prime factors of 556 are 2 x 2 x 139
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 362, 398, 556, 100 is 2.
Given numbers are 362, 398, 556, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 398) = 72038
GCD(362, 398) = ( 362 x 398 ) / 72038
= 362 / 398
= 362
Step2:
LCM(2, 556) = 556
GCD(2, 556) = ( 2 x 556 ) / 556
= 2 / 556
= 2
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 362, 398, 556, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 398, 556, 100
The greatest common divisor of numbers 362, 398, 556, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 398, 556, 100 is 2.
1. What is the GCD of 362, 398, 556, 100?
GCD of given numbers 362, 398, 556, 100 is 2
2. How to calculate the greatest common divisor of 362, 398, 556, 100?
We can find the highest common divisor of 362, 398, 556, 100 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 362, 398, 556, 100 i.e 2.
3. How can I use the GCD of 362, 398, 556, 100Calculator?
Out the numbers 362, 398, 556, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.