Online GCD Calculator is useful to find the GCD of 231, 170, 692, 148 quickly. Get the easiest ways to solve the greatest common divisor of 231, 170, 692, 148 i.e 1 in different methods as follows.
Given Input numbers are 231, 170, 692, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (231, 170, 692, 148) = 1.
Given numbers are 231, 170, 692, 148
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 170 are 2 x 5 x 17
Prime factors of 692 are 2 x 2 x 173
Prime factors of 148 are 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 170, 692, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 170) = 39270
GCD(231, 170) = ( 231 x 170 ) / 39270
= 231 / 170
= 231
Step2:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
Step3:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
So, Greatest Common Divisor of 231, 170, 692, 148 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 170, 692, 148
The greatest common divisor of numbers 231, 170, 692, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 170, 692, 148 is 1.
1. What is the GCD of 231, 170, 692, 148?
GCD of given numbers 231, 170, 692, 148 is 1
2. How to calculate the greatest common divisor of 231, 170, 692, 148?
We can find the highest common divisor of 231, 170, 692, 148 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 231, 170, 692, 148 i.e 1.
3. How can I use the GCD of 231, 170, 692, 148Calculator?
Out the numbers 231, 170, 692, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.