Online GCD Calculator is useful to find the GCD of 714, 552, 232, 212 quickly. Get the easiest ways to solve the greatest common divisor of 714, 552, 232, 212 i.e 2 in different methods as follows.
Given Input numbers are 714, 552, 232, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
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 (714, 552, 232, 212) = 2.
Given numbers are 714, 552, 232, 212
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 714, 552, 232, 212 is 2.
Given numbers are 714, 552, 232, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 552) = 65688
GCD(714, 552) = ( 714 x 552 ) / 65688
= 714 / 552
= 714
Step2:
LCM(6, 232) = 696
GCD(6, 232) = ( 6 x 232 ) / 696
= 6 / 232
= 6
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 714, 552, 232, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 552, 232, 212
The greatest common divisor of numbers 714, 552, 232, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 552, 232, 212 is 2.
1. What is the GCD of 714, 552, 232, 212?
GCD of given numbers 714, 552, 232, 212 is 2
2. How to calculate the greatest common divisor of 714, 552, 232, 212?
We can find the highest common divisor of 714, 552, 232, 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 714, 552, 232, 212 i.e 2.
3. How can I use the GCD of 714, 552, 232, 212Calculator?
Out the numbers 714, 552, 232, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.