Online GCD Calculator is useful to find the GCD of 200, 749, 146, 614 quickly. Get the easiest ways to solve the greatest common divisor of 200, 749, 146, 614 i.e 1 in different methods as follows.
Given Input numbers are 200, 749, 146, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (200, 749, 146, 614) = 1.
Given numbers are 200, 749, 146, 614
The list of prime factors of all numbers are
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 749 are 7 x 107
Prime factors of 146 are 2 x 73
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 200, 749, 146, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(200, 749) = 149800
GCD(200, 749) = ( 200 x 749 ) / 149800
= 200 / 749
= 200
Step2:
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
= 1 / 146
= 1
Step3:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
So, Greatest Common Divisor of 200, 749, 146, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 200, 749, 146, 614
The greatest common divisor of numbers 200, 749, 146, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 749, 146, 614 is 1.
1. What is the GCD of 200, 749, 146, 614?
GCD of given numbers 200, 749, 146, 614 is 1
2. How to calculate the greatest common divisor of 200, 749, 146, 614?
We can find the highest common divisor of 200, 749, 146, 614 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 200, 749, 146, 614 i.e 1.
3. How can I use the GCD of 200, 749, 146, 614Calculator?
Out the numbers 200, 749, 146, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.