Online GCD Calculator is useful to find the GCD of 352, 792, 280, 212 quickly. Get the easiest ways to solve the greatest common divisor of 352, 792, 280, 212 i.e 4 in different methods as follows.
Given Input numbers are 352, 792, 280, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (352, 792, 280, 212) = 4.
Given numbers are 352, 792, 280, 212
The list of prime factors of all numbers are
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 22
Therefore, GCD of 352, 792, 280, 212 is 4.
Given numbers are 352, 792, 280, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(352, 792) = 3168
GCD(352, 792) = ( 352 x 792 ) / 3168
= 352 / 792
= 352
Step2:
LCM(88, 280) = 3080
GCD(88, 280) = ( 88 x 280 ) / 3080
= 88 / 280
= 88
Step3:
LCM(8, 212) = 424
GCD(8, 212) = ( 8 x 212 ) / 424
= 8 / 212
= 8
So, Greatest Common Divisor of 352, 792, 280, 212 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 352, 792, 280, 212
The greatest common divisor of numbers 352, 792, 280, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 792, 280, 212 is 4.
1. What is the GCD of 352, 792, 280, 212?
GCD of given numbers 352, 792, 280, 212 is 4
2. How to calculate the greatest common divisor of 352, 792, 280, 212?
We can find the highest common divisor of 352, 792, 280, 212 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 352, 792, 280, 212 i.e 4.
3. How can I use the GCD of 352, 792, 280, 212Calculator?
Out the numbers 352, 792, 280, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.