Online GCD Calculator is useful to find the GCD of 752, 772, 932, 746 quickly. Get the easiest ways to solve the greatest common divisor of 752, 772, 932, 746 i.e 2 in different methods as follows.
Given Input numbers are 752, 772, 932, 746
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 932 :
The positive integer divisors of 932 that completely divides 932 are.
1, 2, 4, 233, 466, 932
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (752, 772, 932, 746) = 2.
Given numbers are 752, 772, 932, 746
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 772 are 2 x 2 x 193
Prime factors of 932 are 2 x 2 x 233
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 752, 772, 932, 746 is 2.
Given numbers are 752, 772, 932, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 772) = 145136
GCD(752, 772) = ( 752 x 772 ) / 145136
= 752 / 772
= 752
Step2:
LCM(4, 932) = 932
GCD(4, 932) = ( 4 x 932 ) / 932
= 4 / 932
= 4
Step3:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
So, Greatest Common Divisor of 752, 772, 932, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 772, 932, 746
The greatest common divisor of numbers 752, 772, 932, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 772, 932, 746 is 2.
1. What is the GCD of 752, 772, 932, 746?
GCD of given numbers 752, 772, 932, 746 is 2
2. How to calculate the greatest common divisor of 752, 772, 932, 746?
We can find the highest common divisor of 752, 772, 932, 746 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, 772, 932, 746 i.e 2.
3. How can I use the GCD of 752, 772, 932, 746Calculator?
Out the numbers 752, 772, 932, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.