Online GCD Calculator is useful to find the GCD of 988, 728, 252, 736 quickly. Get the easiest ways to solve the greatest common divisor of 988, 728, 252, 736 i.e 4 in different methods as follows.
Given Input numbers are 988, 728, 252, 736
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (988, 728, 252, 736) = 4.
Given numbers are 988, 728, 252, 736
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 22
Therefore, GCD of 988, 728, 252, 736 is 4.
Given numbers are 988, 728, 252, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 728) = 13832
GCD(988, 728) = ( 988 x 728 ) / 13832
= 988 / 728
= 988
Step2:
LCM(52, 252) = 3276
GCD(52, 252) = ( 52 x 252 ) / 3276
= 52 / 252
= 52
Step3:
LCM(4, 736) = 736
GCD(4, 736) = ( 4 x 736 ) / 736
= 4 / 736
= 4
So, Greatest Common Divisor of 988, 728, 252, 736 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 728, 252, 736
The greatest common divisor of numbers 988, 728, 252, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 728, 252, 736 is 4.
1. What is the GCD of 988, 728, 252, 736?
GCD of given numbers 988, 728, 252, 736 is 4
2. How to calculate the greatest common divisor of 988, 728, 252, 736?
We can find the highest common divisor of 988, 728, 252, 736 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 988, 728, 252, 736 i.e 4.
3. How can I use the GCD of 988, 728, 252, 736Calculator?
Out the numbers 988, 728, 252, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.