Online GCD Calculator is useful to find the GCD of 137, 168, 45, 292 quickly. Get the easiest ways to solve the greatest common divisor of 137, 168, 45, 292 i.e 1 in different methods as follows.
Given Input numbers are 137, 168, 45, 292
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
GCD of numbers is the greatest common divisor
So, the GCD (137, 168, 45, 292) = 1.
Given numbers are 137, 168, 45, 292
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 45 are 3 x 3 x 5
Prime factors of 292 are 2 x 2 x 73
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 168, 45, 292
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 168) = 23016
GCD(137, 168) = ( 137 x 168 ) / 23016
= 137 / 168
= 137
Step2:
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
= 1 / 45
= 1
Step3:
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
= 1 / 292
= 1
So, Greatest Common Divisor of 137, 168, 45, 292 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 168, 45, 292
The greatest common divisor of numbers 137, 168, 45, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 168, 45, 292 is 1.
1. What is the GCD of 137, 168, 45, 292?
GCD of given numbers 137, 168, 45, 292 is 1
2. How to calculate the greatest common divisor of 137, 168, 45, 292?
We can find the highest common divisor of 137, 168, 45, 292 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, 168, 45, 292 i.e 1.
3. How can I use the GCD of 137, 168, 45, 292Calculator?
Out the numbers 137, 168, 45, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.