Online GCD Calculator is useful to find the GCD of 632, 196, 538, 588 quickly. Get the easiest ways to solve the greatest common divisor of 632, 196, 538, 588 i.e 2 in different methods as follows.
Given Input numbers are 632, 196, 538, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (632, 196, 538, 588) = 2.
Given numbers are 632, 196, 538, 588
The list of prime factors of all numbers are
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 538 are 2 x 269
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 632, 196, 538, 588 is 2.
Given numbers are 632, 196, 538, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(632, 196) = 30968
GCD(632, 196) = ( 632 x 196 ) / 30968
= 632 / 196
= 632
Step2:
LCM(4, 538) = 1076
GCD(4, 538) = ( 4 x 538 ) / 1076
= 4 / 538
= 4
Step3:
LCM(2, 588) = 588
GCD(2, 588) = ( 2 x 588 ) / 588
= 2 / 588
= 2
So, Greatest Common Divisor of 632, 196, 538, 588 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 632, 196, 538, 588
The greatest common divisor of numbers 632, 196, 538, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 196, 538, 588 is 2.
1. What is the GCD of 632, 196, 538, 588?
GCD of given numbers 632, 196, 538, 588 is 2
2. How to calculate the greatest common divisor of 632, 196, 538, 588?
We can find the highest common divisor of 632, 196, 538, 588 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 632, 196, 538, 588 i.e 2.
3. How can I use the GCD of 632, 196, 538, 588Calculator?
Out the numbers 632, 196, 538, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.