Online GCD Calculator is useful to find the GCD of 688, 196, 976, 996 quickly. Get the easiest ways to solve the greatest common divisor of 688, 196, 976, 996 i.e 4 in different methods as follows.
Given Input numbers are 688, 196, 976, 996
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
GCD of numbers is the greatest common divisor
So, the GCD (688, 196, 976, 996) = 4.
Given numbers are 688, 196, 976, 996
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 996 are 2 x 2 x 3 x 83
The highest common occurrence is 22
Therefore, GCD of 688, 196, 976, 996 is 4.
Given numbers are 688, 196, 976, 996
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 196) = 33712
GCD(688, 196) = ( 688 x 196 ) / 33712
= 688 / 196
= 688
Step2:
LCM(4, 976) = 976
GCD(4, 976) = ( 4 x 976 ) / 976
= 4 / 976
= 4
Step3:
LCM(4, 996) = 996
GCD(4, 996) = ( 4 x 996 ) / 996
= 4 / 996
= 4
So, Greatest Common Divisor of 688, 196, 976, 996 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 688, 196, 976, 996
The greatest common divisor of numbers 688, 196, 976, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 196, 976, 996 is 4.
1. What is the GCD of 688, 196, 976, 996?
GCD of given numbers 688, 196, 976, 996 is 4
2. How to calculate the greatest common divisor of 688, 196, 976, 996?
We can find the highest common divisor of 688, 196, 976, 996 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 688, 196, 976, 996 i.e 4.
3. How can I use the GCD of 688, 196, 976, 996Calculator?
Out the numbers 688, 196, 976, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.