Online GCD Calculator is useful to find the GCD of 748, 276, 832, 608 quickly. Get the easiest ways to solve the greatest common divisor of 748, 276, 832, 608 i.e 4 in different methods as follows.
Given Input numbers are 748, 276, 832, 608
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 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (748, 276, 832, 608) = 4.
Given numbers are 748, 276, 832, 608
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 22
Therefore, GCD of 748, 276, 832, 608 is 4.
Given numbers are 748, 276, 832, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 276) = 51612
GCD(748, 276) = ( 748 x 276 ) / 51612
= 748 / 276
= 748
Step2:
LCM(4, 832) = 832
GCD(4, 832) = ( 4 x 832 ) / 832
= 4 / 832
= 4
Step3:
LCM(4, 608) = 608
GCD(4, 608) = ( 4 x 608 ) / 608
= 4 / 608
= 4
So, Greatest Common Divisor of 748, 276, 832, 608 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 276, 832, 608
The greatest common divisor of numbers 748, 276, 832, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 276, 832, 608 is 4.
1. What is the GCD of 748, 276, 832, 608?
GCD of given numbers 748, 276, 832, 608 is 4
2. How to calculate the greatest common divisor of 748, 276, 832, 608?
We can find the highest common divisor of 748, 276, 832, 608 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, 276, 832, 608 i.e 4.
3. How can I use the GCD of 748, 276, 832, 608Calculator?
Out the numbers 748, 276, 832, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.