Online GCD Calculator is useful to find the GCD of 774, 536, 748 quickly. Get the easiest ways to solve the greatest common divisor of 774, 536, 748 i.e 2 in different methods as follows.
Given Input numbers are 774, 536, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
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
GCD of numbers is the greatest common divisor
So, the GCD (774, 536, 748) = 2.
Given numbers are 774, 536, 748
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 774, 536, 748 is 2.
Given numbers are 774, 536, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 536) = 207432
GCD(774, 536) = ( 774 x 536 ) / 207432
= 774 / 536
= 774
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
So, Greatest Common Divisor of 774, 536, 748 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 536, 748
The greatest common divisor of numbers 774, 536, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 536, 748 is 2.
1. What is the GCD of 774, 536, 748?
GCD of given numbers 774, 536, 748 is 2
2. How to calculate the greatest common divisor of 774, 536, 748?
We can find the highest common divisor of 774, 536, 748 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 774, 536, 748 i.e 2.
3. How can I use the GCD of 774, 536, 748Calculator?
Out the numbers 774, 536, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.