Online GCD Calculator is useful to find the GCD of 137, 909, 474, 898 quickly. Get the easiest ways to solve the greatest common divisor of 137, 909, 474, 898 i.e 1 in different methods as follows.
Given Input numbers are 137, 909, 474, 898
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 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (137, 909, 474, 898) = 1.
Given numbers are 137, 909, 474, 898
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 909 are 3 x 3 x 101
Prime factors of 474 are 2 x 3 x 79
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 909, 474, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 909) = 124533
GCD(137, 909) = ( 137 x 909 ) / 124533
= 137 / 909
= 137
Step2:
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
= 1 / 474
= 1
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 137, 909, 474, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 909, 474, 898
The greatest common divisor of numbers 137, 909, 474, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 909, 474, 898 is 1.
1. What is the GCD of 137, 909, 474, 898?
GCD of given numbers 137, 909, 474, 898 is 1
2. How to calculate the greatest common divisor of 137, 909, 474, 898?
We can find the highest common divisor of 137, 909, 474, 898 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, 909, 474, 898 i.e 1.
3. How can I use the GCD of 137, 909, 474, 898Calculator?
Out the numbers 137, 909, 474, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.