Online GCD Calculator is useful to find the GCD of 234, 780, 764, 632 quickly. Get the easiest ways to solve the greatest common divisor of 234, 780, 764, 632 i.e 2 in different methods as follows.
Given Input numbers are 234, 780, 764, 632
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
GCD of numbers is the greatest common divisor
So, the GCD (234, 780, 764, 632) = 2.
Given numbers are 234, 780, 764, 632
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 764 are 2 x 2 x 191
Prime factors of 632 are 2 x 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 234, 780, 764, 632 is 2.
Given numbers are 234, 780, 764, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 780) = 2340
GCD(234, 780) = ( 234 x 780 ) / 2340
= 234 / 780
= 234
Step2:
LCM(78, 764) = 29796
GCD(78, 764) = ( 78 x 764 ) / 29796
= 78 / 764
= 78
Step3:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
So, Greatest Common Divisor of 234, 780, 764, 632 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 780, 764, 632
The greatest common divisor of numbers 234, 780, 764, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 780, 764, 632 is 2.
1. What is the GCD of 234, 780, 764, 632?
GCD of given numbers 234, 780, 764, 632 is 2
2. How to calculate the greatest common divisor of 234, 780, 764, 632?
We can find the highest common divisor of 234, 780, 764, 632 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 234, 780, 764, 632 i.e 2.
3. How can I use the GCD of 234, 780, 764, 632Calculator?
Out the numbers 234, 780, 764, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.