Online GCD Calculator is useful to find the GCD of 180, 780, 114, 140 quickly. Get the easiest ways to solve the greatest common divisor of 180, 780, 114, 140 i.e 2 in different methods as follows.
Given Input numbers are 180, 780, 114, 140
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (180, 780, 114, 140) = 2.
Given numbers are 180, 780, 114, 140
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 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 114 are 2 x 3 x 19
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 180, 780, 114, 140 is 2.
Given numbers are 180, 780, 114, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 780) = 2340
GCD(180, 780) = ( 180 x 780 ) / 2340
= 180 / 780
= 180
Step2:
LCM(60, 114) = 1140
GCD(60, 114) = ( 60 x 114 ) / 1140
= 60 / 114
= 60
Step3:
LCM(6, 140) = 420
GCD(6, 140) = ( 6 x 140 ) / 420
= 6 / 140
= 6
So, Greatest Common Divisor of 180, 780, 114, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 780, 114, 140
The greatest common divisor of numbers 180, 780, 114, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 780, 114, 140 is 2.
1. What is the GCD of 180, 780, 114, 140?
GCD of given numbers 180, 780, 114, 140 is 2
2. How to calculate the greatest common divisor of 180, 780, 114, 140?
We can find the highest common divisor of 180, 780, 114, 140 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, 780, 114, 140 i.e 2.
3. How can I use the GCD of 180, 780, 114, 140Calculator?
Out the numbers 180, 780, 114, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.