Online GCD Calculator is useful to find the GCD of 494, 169, 225, 677 quickly. Get the easiest ways to solve the greatest common divisor of 494, 169, 225, 677 i.e 1 in different methods as follows.
Given Input numbers are 494, 169, 225, 677
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
GCD of numbers is the greatest common divisor
So, the GCD (494, 169, 225, 677) = 1.
Given numbers are 494, 169, 225, 677
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 169 are 13 x 13
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 677 are 677
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 494, 169, 225, 677
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 169) = 6422
GCD(494, 169) = ( 494 x 169 ) / 6422
= 494 / 169
= 494
Step2:
LCM(13, 225) = 2925
GCD(13, 225) = ( 13 x 225 ) / 2925
= 13 / 225
= 13
Step3:
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
= 1 / 677
= 1
So, Greatest Common Divisor of 494, 169, 225, 677 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 169, 225, 677
The greatest common divisor of numbers 494, 169, 225, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 169, 225, 677 is 1.
1. What is the GCD of 494, 169, 225, 677?
GCD of given numbers 494, 169, 225, 677 is 1
2. How to calculate the greatest common divisor of 494, 169, 225, 677?
We can find the highest common divisor of 494, 169, 225, 677 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 494, 169, 225, 677 i.e 1.
3. How can I use the GCD of 494, 169, 225, 677Calculator?
Out the numbers 494, 169, 225, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.