Online GCD Calculator is useful to find the GCD of 135, 945, 685, 142 quickly. Get the easiest ways to solve the greatest common divisor of 135, 945, 685, 142 i.e 1 in different methods as follows.
Given Input numbers are 135, 945, 685, 142
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 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (135, 945, 685, 142) = 1.
Given numbers are 135, 945, 685, 142
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 685 are 5 x 137
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 945, 685, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 945) = 945
GCD(135, 945) = ( 135 x 945 ) / 945
= 135 / 945
= 135
Step2:
LCM(135, 685) = 18495
GCD(135, 685) = ( 135 x 685 ) / 18495
= 135 / 685
= 135
Step3:
LCM(5, 142) = 710
GCD(5, 142) = ( 5 x 142 ) / 710
= 5 / 142
= 5
So, Greatest Common Divisor of 135, 945, 685, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 945, 685, 142
The greatest common divisor of numbers 135, 945, 685, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 945, 685, 142 is 1.
1. What is the GCD of 135, 945, 685, 142?
GCD of given numbers 135, 945, 685, 142 is 1
2. How to calculate the greatest common divisor of 135, 945, 685, 142?
We can find the highest common divisor of 135, 945, 685, 142 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, 945, 685, 142 i.e 1.
3. How can I use the GCD of 135, 945, 685, 142Calculator?
Out the numbers 135, 945, 685, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.