Online GCD Calculator is useful to find the GCD of 748, 124, 718, 462 quickly. Get the easiest ways to solve the greatest common divisor of 748, 124, 718, 462 i.e 2 in different methods as follows.
Given Input numbers are 748, 124, 718, 462
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 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (748, 124, 718, 462) = 2.
Given numbers are 748, 124, 718, 462
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 124 are 2 x 2 x 31
Prime factors of 718 are 2 x 359
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 748, 124, 718, 462 is 2.
Given numbers are 748, 124, 718, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 124) = 23188
GCD(748, 124) = ( 748 x 124 ) / 23188
= 748 / 124
= 748
Step2:
LCM(4, 718) = 1436
GCD(4, 718) = ( 4 x 718 ) / 1436
= 4 / 718
= 4
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 748, 124, 718, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 124, 718, 462
The greatest common divisor of numbers 748, 124, 718, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 124, 718, 462 is 2.
1. What is the GCD of 748, 124, 718, 462?
GCD of given numbers 748, 124, 718, 462 is 2
2. How to calculate the greatest common divisor of 748, 124, 718, 462?
We can find the highest common divisor of 748, 124, 718, 462 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, 124, 718, 462 i.e 2.
3. How can I use the GCD of 748, 124, 718, 462Calculator?
Out the numbers 748, 124, 718, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.