Online GCD Calculator is useful to find the GCD of 137, 434, 509, 121 quickly. Get the easiest ways to solve the greatest common divisor of 137, 434, 509, 121 i.e 1 in different methods as follows.
Given Input numbers are 137, 434, 509, 121
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 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (137, 434, 509, 121) = 1.
Given numbers are 137, 434, 509, 121
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 434 are 2 x 7 x 31
Prime factors of 509 are 509
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 434, 509, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 434) = 59458
GCD(137, 434) = ( 137 x 434 ) / 59458
= 137 / 434
= 137
Step2:
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
= 1 / 509
= 1
Step3:
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
= 1 / 121
= 1
So, Greatest Common Divisor of 137, 434, 509, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 434, 509, 121
The greatest common divisor of numbers 137, 434, 509, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 434, 509, 121 is 1.
1. What is the GCD of 137, 434, 509, 121?
GCD of given numbers 137, 434, 509, 121 is 1
2. How to calculate the greatest common divisor of 137, 434, 509, 121?
We can find the highest common divisor of 137, 434, 509, 121 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, 434, 509, 121 i.e 1.
3. How can I use the GCD of 137, 434, 509, 121Calculator?
Out the numbers 137, 434, 509, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.