Online GCD Calculator is useful to find the GCD of 348, 705, 121, 176 quickly. Get the easiest ways to solve the greatest common divisor of 348, 705, 121, 176 i.e 1 in different methods as follows.
Given Input numbers are 348, 705, 121, 176
In the factoring method, we have to find the divisors of all numbers
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (348, 705, 121, 176) = 1.
Given numbers are 348, 705, 121, 176
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 705 are 3 x 5 x 47
Prime factors of 121 are 11 x 11
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 348, 705, 121, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 705) = 81780
GCD(348, 705) = ( 348 x 705 ) / 81780
= 348 / 705
= 348
Step2:
LCM(3, 121) = 363
GCD(3, 121) = ( 3 x 121 ) / 363
= 3 / 121
= 3
Step3:
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
= 1 / 176
= 1
So, Greatest Common Divisor of 348, 705, 121, 176 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 705, 121, 176
The greatest common divisor of numbers 348, 705, 121, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 705, 121, 176 is 1.
1. What is the GCD of 348, 705, 121, 176?
GCD of given numbers 348, 705, 121, 176 is 1
2. How to calculate the greatest common divisor of 348, 705, 121, 176?
We can find the highest common divisor of 348, 705, 121, 176 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 348, 705, 121, 176 i.e 1.
3. How can I use the GCD of 348, 705, 121, 176Calculator?
Out the numbers 348, 705, 121, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.