Online GCD Calculator is useful to find the GCD of 748, 524, 472 quickly. Get the easiest ways to solve the greatest common divisor of 748, 524, 472 i.e 4 in different methods as follows.
Given Input numbers are 748, 524, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (748, 524, 472) = 4.
Given numbers are 748, 524, 472
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 524 are 2 x 2 x 131
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 22
Therefore, GCD of 748, 524, 472 is 4.
Given numbers are 748, 524, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 524) = 97988
GCD(748, 524) = ( 748 x 524 ) / 97988
= 748 / 524
= 748
Step2:
LCM(4, 472) = 472
GCD(4, 472) = ( 4 x 472 ) / 472
= 4 / 472
= 4
So, Greatest Common Divisor of 748, 524, 472 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 524, 472
The greatest common divisor of numbers 748, 524, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 524, 472 is 4.
1. What is the GCD of 748, 524, 472?
GCD of given numbers 748, 524, 472 is 4
2. How to calculate the greatest common divisor of 748, 524, 472?
We can find the highest common divisor of 748, 524, 472 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 748, 524, 472 i.e 4.
3. How can I use the GCD of 748, 524, 472Calculator?
Out the numbers 748, 524, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.