Online GCD Calculator is useful to find the GCD of 278, 364, 432, 452 quickly. Get the easiest ways to solve the greatest common divisor of 278, 364, 432, 452 i.e 2 in different methods as follows.
Given Input numbers are 278, 364, 432, 452
In the factoring method, we have to find the divisors of all numbers
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
GCD of numbers is the greatest common divisor
So, the GCD (278, 364, 432, 452) = 2.
Given numbers are 278, 364, 432, 452
The list of prime factors of all numbers are
Prime factors of 278 are 2 x 139
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 452 are 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 278, 364, 432, 452 is 2.
Given numbers are 278, 364, 432, 452
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(278, 364) = 50596
GCD(278, 364) = ( 278 x 364 ) / 50596
= 278 / 364
= 278
Step2:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
Step3:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
So, Greatest Common Divisor of 278, 364, 432, 452 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 278, 364, 432, 452
The greatest common divisor of numbers 278, 364, 432, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 364, 432, 452 is 2.
1. What is the GCD of 278, 364, 432, 452?
GCD of given numbers 278, 364, 432, 452 is 2
2. How to calculate the greatest common divisor of 278, 364, 432, 452?
We can find the highest common divisor of 278, 364, 432, 452 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 278, 364, 432, 452 i.e 2.
3. How can I use the GCD of 278, 364, 432, 452Calculator?
Out the numbers 278, 364, 432, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.