Online GCD Calculator is useful to find the GCD of 780, 927, 126, 924 quickly. Get the easiest ways to solve the greatest common divisor of 780, 927, 126, 924 i.e 3 in different methods as follows.
Given Input numbers are 780, 927, 126, 924
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 927 :
The positive integer divisors of 927 that completely divides 927 are.
1, 3, 9, 103, 309, 927
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (780, 927, 126, 924) = 3.
Given numbers are 780, 927, 126, 924
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 927 are 3 x 3 x 103
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 31
Therefore, GCD of 780, 927, 126, 924 is 3.
Given numbers are 780, 927, 126, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(780, 927) = 241020
GCD(780, 927) = ( 780 x 927 ) / 241020
= 780 / 927
= 780
Step2:
LCM(3, 126) = 126
GCD(3, 126) = ( 3 x 126 ) / 126
= 3 / 126
= 3
Step3:
LCM(3, 924) = 924
GCD(3, 924) = ( 3 x 924 ) / 924
= 3 / 924
= 3
So, Greatest Common Divisor of 780, 927, 126, 924 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 780, 927, 126, 924
The greatest common divisor of numbers 780, 927, 126, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 927, 126, 924 is 3.
1. What is the GCD of 780, 927, 126, 924?
GCD of given numbers 780, 927, 126, 924 is 3
2. How to calculate the greatest common divisor of 780, 927, 126, 924?
We can find the highest common divisor of 780, 927, 126, 924 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, 927, 126, 924 i.e 3.
3. How can I use the GCD of 780, 927, 126, 924Calculator?
Out the numbers 780, 927, 126, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.