Online GCD Calculator is useful to find the GCD of 299, 637, 325, 949 quickly. Get the easiest ways to solve the greatest common divisor of 299, 637, 325, 949 i.e 13 in different methods as follows.
Given Input numbers are 299, 637, 325, 949
In the factoring method, we have to find the divisors of all numbers
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
Divisors of 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
GCD of numbers is the greatest common divisor
So, the GCD (299, 637, 325, 949) = 13.
Given numbers are 299, 637, 325, 949
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 637 are 7 x 7 x 13
Prime factors of 325 are 5 x 5 x 13
Prime factors of 949 are 13 x 73
The highest common occurrence is 131
Therefore, GCD of 299, 637, 325, 949 is 13.
Given numbers are 299, 637, 325, 949
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 637) = 14651
GCD(299, 637) = ( 299 x 637 ) / 14651
= 299 / 637
= 299
Step2:
LCM(13, 325) = 325
GCD(13, 325) = ( 13 x 325 ) / 325
= 13 / 325
= 13
Step3:
LCM(13, 949) = 949
GCD(13, 949) = ( 13 x 949 ) / 949
= 13 / 949
= 13
So, Greatest Common Divisor of 299, 637, 325, 949 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 637, 325, 949
The greatest common divisor of numbers 299, 637, 325, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 637, 325, 949 is 13.
1. What is the GCD of 299, 637, 325, 949?
GCD of given numbers 299, 637, 325, 949 is 13
2. How to calculate the greatest common divisor of 299, 637, 325, 949?
We can find the highest common divisor of 299, 637, 325, 949 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 299, 637, 325, 949 i.e 13.
3. How can I use the GCD of 299, 637, 325, 949Calculator?
Out the numbers 299, 637, 325, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.