Online GCD Calculator is useful to find the GCD of 180, 868, 274 quickly. Get the easiest ways to solve the greatest common divisor of 180, 868, 274 i.e 2 in different methods as follows.
Given Input numbers are 180, 868, 274
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
GCD of numbers is the greatest common divisor
So, the GCD (180, 868, 274) = 2.
Given numbers are 180, 868, 274
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 274 are 2 x 137
The highest common occurrence is 21
Therefore, GCD of 180, 868, 274 is 2.
Given numbers are 180, 868, 274
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 868) = 39060
GCD(180, 868) = ( 180 x 868 ) / 39060
= 180 / 868
= 180
Step2:
LCM(4, 274) = 548
GCD(4, 274) = ( 4 x 274 ) / 548
= 4 / 274
= 4
So, Greatest Common Divisor of 180, 868, 274 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 868, 274
The greatest common divisor of numbers 180, 868, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 868, 274 is 2.
1. What is the GCD of 180, 868, 274?
GCD of given numbers 180, 868, 274 is 2
2. How to calculate the greatest common divisor of 180, 868, 274?
We can find the highest common divisor of 180, 868, 274 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 180, 868, 274 i.e 2.
3. How can I use the GCD of 180, 868, 274Calculator?
Out the numbers 180, 868, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.