Online GCD Calculator is useful to find the GCD of 100, 202, 66, 386 quickly. Get the easiest ways to solve the greatest common divisor of 100, 202, 66, 386 i.e 2 in different methods as follows.
Given Input numbers are 100, 202, 66, 386
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 66 :
The positive integer divisors of 66 that completely divides 66 are.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
GCD of numbers is the greatest common divisor
So, the GCD (100, 202, 66, 386) = 2.
Given numbers are 100, 202, 66, 386
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 202 are 2 x 101
Prime factors of 66 are 2 x 3 x 11
Prime factors of 386 are 2 x 193
The highest common occurrence is 21
Therefore, GCD of 100, 202, 66, 386 is 2.
Given numbers are 100, 202, 66, 386
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 202) = 10100
GCD(100, 202) = ( 100 x 202 ) / 10100
= 100 / 202
= 100
Step2:
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
= 2 / 66
= 2
Step3:
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
= 2 / 386
= 2
So, Greatest Common Divisor of 100, 202, 66, 386 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 202, 66, 386
The greatest common divisor of numbers 100, 202, 66, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 202, 66, 386 is 2.
1. What is the GCD of 100, 202, 66, 386?
GCD of given numbers 100, 202, 66, 386 is 2
2. How to calculate the greatest common divisor of 100, 202, 66, 386?
We can find the highest common divisor of 100, 202, 66, 386 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 100, 202, 66, 386 i.e 2.
3. How can I use the GCD of 100, 202, 66, 386Calculator?
Out the numbers 100, 202, 66, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.