Online GCD Calculator is useful to find the GCD of 135, 399, 174, 490 quickly. Get the easiest ways to solve the greatest common divisor of 135, 399, 174, 490 i.e 1 in different methods as follows.
Given Input numbers are 135, 399, 174, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (135, 399, 174, 490) = 1.
Given numbers are 135, 399, 174, 490
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 399 are 3 x 7 x 19
Prime factors of 174 are 2 x 3 x 29
Prime factors of 490 are 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 399, 174, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 399) = 17955
GCD(135, 399) = ( 135 x 399 ) / 17955
= 135 / 399
= 135
Step2:
LCM(3, 174) = 174
GCD(3, 174) = ( 3 x 174 ) / 174
= 3 / 174
= 3
Step3:
LCM(3, 490) = 1470
GCD(3, 490) = ( 3 x 490 ) / 1470
= 3 / 490
= 3
So, Greatest Common Divisor of 135, 399, 174, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 399, 174, 490
The greatest common divisor of numbers 135, 399, 174, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 399, 174, 490 is 1.
1. What is the GCD of 135, 399, 174, 490?
GCD of given numbers 135, 399, 174, 490 is 1
2. How to calculate the greatest common divisor of 135, 399, 174, 490?
We can find the highest common divisor of 135, 399, 174, 490 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 135, 399, 174, 490 i.e 1.
3. How can I use the GCD of 135, 399, 174, 490Calculator?
Out the numbers 135, 399, 174, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.