Online GCD Calculator is useful to find the GCD of 780, 744, 140, 184 quickly. Get the easiest ways to solve the greatest common divisor of 780, 744, 140, 184 i.e 4 in different methods as follows.
Given Input numbers are 780, 744, 140, 184
In the factoring method, we have to find the divisors of all numbers
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 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
GCD of numbers is the greatest common divisor
So, the GCD (780, 744, 140, 184) = 4.
Given numbers are 780, 744, 140, 184
The list of prime factors of all numbers are
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 184 are 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 780, 744, 140, 184 is 4.
Given numbers are 780, 744, 140, 184
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 744) = 48360
GCD(780, 744) = ( 780 x 744 ) / 48360
= 780 / 744
= 780
Step2:
LCM(12, 140) = 420
GCD(12, 140) = ( 12 x 140 ) / 420
= 12 / 140
= 12
Step3:
LCM(4, 184) = 184
GCD(4, 184) = ( 4 x 184 ) / 184
= 4 / 184
= 4
So, Greatest Common Divisor of 780, 744, 140, 184 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 744, 140, 184
The greatest common divisor of numbers 780, 744, 140, 184 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 744, 140, 184 is 4.
1. What is the GCD of 780, 744, 140, 184?
GCD of given numbers 780, 744, 140, 184 is 4
2. How to calculate the greatest common divisor of 780, 744, 140, 184?
We can find the highest common divisor of 780, 744, 140, 184 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 780, 744, 140, 184 i.e 4.
3. How can I use the GCD of 780, 744, 140, 184Calculator?
Out the numbers 780, 744, 140, 184 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.