Online GCD Calculator is useful to find the GCD of 280, 176, 704, 324 quickly. Get the easiest ways to solve the greatest common divisor of 280, 176, 704, 324 i.e 4 in different methods as follows.
Given Input numbers are 280, 176, 704, 324
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (280, 176, 704, 324) = 4.
Given numbers are 280, 176, 704, 324
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 280, 176, 704, 324 is 4.
Given numbers are 280, 176, 704, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 176) = 6160
GCD(280, 176) = ( 280 x 176 ) / 6160
= 280 / 176
= 280
Step2:
LCM(8, 704) = 704
GCD(8, 704) = ( 8 x 704 ) / 704
= 8 / 704
= 8
Step3:
LCM(8, 324) = 648
GCD(8, 324) = ( 8 x 324 ) / 648
= 8 / 324
= 8
So, Greatest Common Divisor of 280, 176, 704, 324 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 176, 704, 324
The greatest common divisor of numbers 280, 176, 704, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 176, 704, 324 is 4.
1. What is the GCD of 280, 176, 704, 324?
GCD of given numbers 280, 176, 704, 324 is 4
2. How to calculate the greatest common divisor of 280, 176, 704, 324?
We can find the highest common divisor of 280, 176, 704, 324 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 280, 176, 704, 324 i.e 4.
3. How can I use the GCD of 280, 176, 704, 324Calculator?
Out the numbers 280, 176, 704, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.