Online GCD Calculator is useful to find the GCD of 135, 490, 120, 426 quickly. Get the easiest ways to solve the greatest common divisor of 135, 490, 120, 426 i.e 1 in different methods as follows.
Given Input numbers are 135, 490, 120, 426
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 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (135, 490, 120, 426) = 1.
Given numbers are 135, 490, 120, 426
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 426 are 2 x 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 490, 120, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 490) = 13230
GCD(135, 490) = ( 135 x 490 ) / 13230
= 135 / 490
= 135
Step2:
LCM(5, 120) = 120
GCD(5, 120) = ( 5 x 120 ) / 120
= 5 / 120
= 5
Step3:
LCM(5, 426) = 2130
GCD(5, 426) = ( 5 x 426 ) / 2130
= 5 / 426
= 5
So, Greatest Common Divisor of 135, 490, 120, 426 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 490, 120, 426
The greatest common divisor of numbers 135, 490, 120, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 490, 120, 426 is 1.
1. What is the GCD of 135, 490, 120, 426?
GCD of given numbers 135, 490, 120, 426 is 1
2. How to calculate the greatest common divisor of 135, 490, 120, 426?
We can find the highest common divisor of 135, 490, 120, 426 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, 490, 120, 426 i.e 1.
3. How can I use the GCD of 135, 490, 120, 426Calculator?
Out the numbers 135, 490, 120, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.