Online GCD Calculator is useful to find the GCD of 137, 154, 107, 135 quickly. Get the easiest ways to solve the greatest common divisor of 137, 154, 107, 135 i.e 1 in different methods as follows.
Given Input numbers are 137, 154, 107, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (137, 154, 107, 135) = 1.
Given numbers are 137, 154, 107, 135
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 154 are 2 x 7 x 11
Prime factors of 107 are 107
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 154, 107, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 154) = 21098
GCD(137, 154) = ( 137 x 154 ) / 21098
= 137 / 154
= 137
Step2:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 137, 154, 107, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 154, 107, 135
The greatest common divisor of numbers 137, 154, 107, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 154, 107, 135 is 1.
1. What is the GCD of 137, 154, 107, 135?
GCD of given numbers 137, 154, 107, 135 is 1
2. How to calculate the greatest common divisor of 137, 154, 107, 135?
We can find the highest common divisor of 137, 154, 107, 135 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 137, 154, 107, 135 i.e 1.
3. How can I use the GCD of 137, 154, 107, 135Calculator?
Out the numbers 137, 154, 107, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.