Online GCD Calculator is useful to find the GCD of 414, 736, 700, 204 quickly. Get the easiest ways to solve the greatest common divisor of 414, 736, 700, 204 i.e 2 in different methods as follows.
Given Input numbers are 414, 736, 700, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (414, 736, 700, 204) = 2.
Given numbers are 414, 736, 700, 204
The list of prime factors of all numbers are
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 414, 736, 700, 204 is 2.
Given numbers are 414, 736, 700, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(414, 736) = 6624
GCD(414, 736) = ( 414 x 736 ) / 6624
= 414 / 736
= 414
Step2:
LCM(46, 700) = 16100
GCD(46, 700) = ( 46 x 700 ) / 16100
= 46 / 700
= 46
Step3:
LCM(2, 204) = 204
GCD(2, 204) = ( 2 x 204 ) / 204
= 2 / 204
= 2
So, Greatest Common Divisor of 414, 736, 700, 204 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 414, 736, 700, 204
The greatest common divisor of numbers 414, 736, 700, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 736, 700, 204 is 2.
1. What is the GCD of 414, 736, 700, 204?
GCD of given numbers 414, 736, 700, 204 is 2
2. How to calculate the greatest common divisor of 414, 736, 700, 204?
We can find the highest common divisor of 414, 736, 700, 204 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 414, 736, 700, 204 i.e 2.
3. How can I use the GCD of 414, 736, 700, 204Calculator?
Out the numbers 414, 736, 700, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.