Online GCD Calculator is useful to find the GCD of 354, 638, 168, 300 quickly. Get the easiest ways to solve the greatest common divisor of 354, 638, 168, 300 i.e 2 in different methods as follows.
Given Input numbers are 354, 638, 168, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (354, 638, 168, 300) = 2.
Given numbers are 354, 638, 168, 300
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 638 are 2 x 11 x 29
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 354, 638, 168, 300 is 2.
Given numbers are 354, 638, 168, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 638) = 112926
GCD(354, 638) = ( 354 x 638 ) / 112926
= 354 / 638
= 354
Step2:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 354, 638, 168, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 638, 168, 300
The greatest common divisor of numbers 354, 638, 168, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 638, 168, 300 is 2.
1. What is the GCD of 354, 638, 168, 300?
GCD of given numbers 354, 638, 168, 300 is 2
2. How to calculate the greatest common divisor of 354, 638, 168, 300?
We can find the highest common divisor of 354, 638, 168, 300 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 354, 638, 168, 300 i.e 2.
3. How can I use the GCD of 354, 638, 168, 300Calculator?
Out the numbers 354, 638, 168, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.