Online GCD Calculator is useful to find the GCD of 500, 242, 395, 149 quickly. Get the easiest ways to solve the greatest common divisor of 500, 242, 395, 149 i.e 1 in different methods as follows.
Given Input numbers are 500, 242, 395, 149
In the factoring method, we have to find the divisors of all numbers
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (500, 242, 395, 149) = 1.
Given numbers are 500, 242, 395, 149
The list of prime factors of all numbers are
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 242 are 2 x 11 x 11
Prime factors of 395 are 5 x 79
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 500, 242, 395, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(500, 242) = 60500
GCD(500, 242) = ( 500 x 242 ) / 60500
= 500 / 242
= 500
Step2:
LCM(2, 395) = 790
GCD(2, 395) = ( 2 x 395 ) / 790
= 2 / 395
= 2
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 500, 242, 395, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 500, 242, 395, 149
The greatest common divisor of numbers 500, 242, 395, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 242, 395, 149 is 1.
1. What is the GCD of 500, 242, 395, 149?
GCD of given numbers 500, 242, 395, 149 is 1
2. How to calculate the greatest common divisor of 500, 242, 395, 149?
We can find the highest common divisor of 500, 242, 395, 149 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 500, 242, 395, 149 i.e 1.
3. How can I use the GCD of 500, 242, 395, 149Calculator?
Out the numbers 500, 242, 395, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.