Online GCD Calculator is useful to find the GCD of 432, 702, 776, 374 quickly. Get the easiest ways to solve the greatest common divisor of 432, 702, 776, 374 i.e 2 in different methods as follows.
Given Input numbers are 432, 702, 776, 374
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (432, 702, 776, 374) = 2.
Given numbers are 432, 702, 776, 374
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 374 are 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 432, 702, 776, 374 is 2.
Given numbers are 432, 702, 776, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 702) = 5616
GCD(432, 702) = ( 432 x 702 ) / 5616
= 432 / 702
= 432
Step2:
LCM(54, 776) = 20952
GCD(54, 776) = ( 54 x 776 ) / 20952
= 54 / 776
= 54
Step3:
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
= 2 / 374
= 2
So, Greatest Common Divisor of 432, 702, 776, 374 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 702, 776, 374
The greatest common divisor of numbers 432, 702, 776, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 702, 776, 374 is 2.
1. What is the GCD of 432, 702, 776, 374?
GCD of given numbers 432, 702, 776, 374 is 2
2. How to calculate the greatest common divisor of 432, 702, 776, 374?
We can find the highest common divisor of 432, 702, 776, 374 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 432, 702, 776, 374 i.e 2.
3. How can I use the GCD of 432, 702, 776, 374Calculator?
Out the numbers 432, 702, 776, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.