Online GCD Calculator is useful to find the GCD of 748, 728, 700, 464 quickly. Get the easiest ways to solve the greatest common divisor of 748, 728, 700, 464 i.e 4 in different methods as follows.
Given Input numbers are 748, 728, 700, 464
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 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 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (748, 728, 700, 464) = 4.
Given numbers are 748, 728, 700, 464
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 22
Therefore, GCD of 748, 728, 700, 464 is 4.
Given numbers are 748, 728, 700, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 728) = 136136
GCD(748, 728) = ( 748 x 728 ) / 136136
= 748 / 728
= 748
Step2:
LCM(4, 700) = 700
GCD(4, 700) = ( 4 x 700 ) / 700
= 4 / 700
= 4
Step3:
LCM(4, 464) = 464
GCD(4, 464) = ( 4 x 464 ) / 464
= 4 / 464
= 4
So, Greatest Common Divisor of 748, 728, 700, 464 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 728, 700, 464
The greatest common divisor of numbers 748, 728, 700, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 728, 700, 464 is 4.
1. What is the GCD of 748, 728, 700, 464?
GCD of given numbers 748, 728, 700, 464 is 4
2. How to calculate the greatest common divisor of 748, 728, 700, 464?
We can find the highest common divisor of 748, 728, 700, 464 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, 728, 700, 464 i.e 4.
3. How can I use the GCD of 748, 728, 700, 464Calculator?
Out the numbers 748, 728, 700, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.