Online GCD Calculator is useful to find the GCD of 752, 984, 676 quickly. Get the easiest ways to solve the greatest common divisor of 752, 984, 676 i.e 4 in different methods as follows.
Given Input numbers are 752, 984, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (752, 984, 676) = 4.
Given numbers are 752, 984, 676
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 22
Therefore, GCD of 752, 984, 676 is 4.
Given numbers are 752, 984, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 984) = 92496
GCD(752, 984) = ( 752 x 984 ) / 92496
= 752 / 984
= 752
Step2:
LCM(8, 676) = 1352
GCD(8, 676) = ( 8 x 676 ) / 1352
= 8 / 676
= 8
So, Greatest Common Divisor of 752, 984, 676 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 984, 676
The greatest common divisor of numbers 752, 984, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 984, 676 is 4.
1. What is the GCD of 752, 984, 676?
GCD of given numbers 752, 984, 676 is 4
2. How to calculate the greatest common divisor of 752, 984, 676?
We can find the highest common divisor of 752, 984, 676 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 752, 984, 676 i.e 4.
3. How can I use the GCD of 752, 984, 676Calculator?
Out the numbers 752, 984, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.