Online GCD Calculator is useful to find the GCD of 348, 981, 642, 180 quickly. Get the easiest ways to solve the greatest common divisor of 348, 981, 642, 180 i.e 3 in different methods as follows.
Given Input numbers are 348, 981, 642, 180
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 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (348, 981, 642, 180) = 3.
Given numbers are 348, 981, 642, 180
The list of prime factors of all numbers are
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 981 are 3 x 3 x 109
Prime factors of 642 are 2 x 3 x 107
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 348, 981, 642, 180 is 3.
Given numbers are 348, 981, 642, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(348, 981) = 113796
GCD(348, 981) = ( 348 x 981 ) / 113796
= 348 / 981
= 348
Step2:
LCM(3, 642) = 642
GCD(3, 642) = ( 3 x 642 ) / 642
= 3 / 642
= 3
Step3:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
So, Greatest Common Divisor of 348, 981, 642, 180 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 348, 981, 642, 180
The greatest common divisor of numbers 348, 981, 642, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 981, 642, 180 is 3.
1. What is the GCD of 348, 981, 642, 180?
GCD of given numbers 348, 981, 642, 180 is 3
2. How to calculate the greatest common divisor of 348, 981, 642, 180?
We can find the highest common divisor of 348, 981, 642, 180 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, 981, 642, 180 i.e 3.
3. How can I use the GCD of 348, 981, 642, 180Calculator?
Out the numbers 348, 981, 642, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.