Online GCD Calculator is useful to find the GCD of 532, 848, 116, 212 quickly. Get the easiest ways to solve the greatest common divisor of 532, 848, 116, 212 i.e 4 in different methods as follows.
Given Input numbers are 532, 848, 116, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
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 (532, 848, 116, 212) = 4.
Given numbers are 532, 848, 116, 212
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 116 are 2 x 2 x 29
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 22
Therefore, GCD of 532, 848, 116, 212 is 4.
Given numbers are 532, 848, 116, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 848) = 112784
GCD(532, 848) = ( 532 x 848 ) / 112784
= 532 / 848
= 532
Step2:
LCM(4, 116) = 116
GCD(4, 116) = ( 4 x 116 ) / 116
= 4 / 116
= 4
Step3:
LCM(4, 212) = 212
GCD(4, 212) = ( 4 x 212 ) / 212
= 4 / 212
= 4
So, Greatest Common Divisor of 532, 848, 116, 212 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 848, 116, 212
The greatest common divisor of numbers 532, 848, 116, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 848, 116, 212 is 4.
1. What is the GCD of 532, 848, 116, 212?
GCD of given numbers 532, 848, 116, 212 is 4
2. How to calculate the greatest common divisor of 532, 848, 116, 212?
We can find the highest common divisor of 532, 848, 116, 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 532, 848, 116, 212 i.e 4.
3. How can I use the GCD of 532, 848, 116, 212Calculator?
Out the numbers 532, 848, 116, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.