Online GCD Calculator is useful to find the GCD of 135, 137, 371, 896 quickly. Get the easiest ways to solve the greatest common divisor of 135, 137, 371, 896 i.e 1 in different methods as follows.
Given Input numbers are 135, 137, 371, 896
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 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
GCD of numbers is the greatest common divisor
So, the GCD (135, 137, 371, 896) = 1.
Given numbers are 135, 137, 371, 896
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 137 are 137
Prime factors of 371 are 7 x 53
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 137, 371, 896
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 137) = 18495
GCD(135, 137) = ( 135 x 137 ) / 18495
= 135 / 137
= 135
Step2:
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
= 1 / 371
= 1
Step3:
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
= 1 / 896
= 1
So, Greatest Common Divisor of 135, 137, 371, 896 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 137, 371, 896
The greatest common divisor of numbers 135, 137, 371, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 137, 371, 896 is 1.
1. What is the GCD of 135, 137, 371, 896?
GCD of given numbers 135, 137, 371, 896 is 1
2. How to calculate the greatest common divisor of 135, 137, 371, 896?
We can find the highest common divisor of 135, 137, 371, 896 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, 137, 371, 896 i.e 1.
3. How can I use the GCD of 135, 137, 371, 896Calculator?
Out the numbers 135, 137, 371, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.