Online GCD Calculator is useful to find the GCD of 748, 285, 548, 678 quickly. Get the easiest ways to solve the greatest common divisor of 748, 285, 548, 678 i.e 1 in different methods as follows.
Given Input numbers are 748, 285, 548, 678
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 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (748, 285, 548, 678) = 1.
Given numbers are 748, 285, 548, 678
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 285 are 3 x 5 x 19
Prime factors of 548 are 2 x 2 x 137
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 285, 548, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 285) = 213180
GCD(748, 285) = ( 748 x 285 ) / 213180
= 748 / 285
= 748
Step2:
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
= 1 / 548
= 1
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 748, 285, 548, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 285, 548, 678
The greatest common divisor of numbers 748, 285, 548, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 285, 548, 678 is 1.
1. What is the GCD of 748, 285, 548, 678?
GCD of given numbers 748, 285, 548, 678 is 1
2. How to calculate the greatest common divisor of 748, 285, 548, 678?
We can find the highest common divisor of 748, 285, 548, 678 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, 285, 548, 678 i.e 1.
3. How can I use the GCD of 748, 285, 548, 678Calculator?
Out the numbers 748, 285, 548, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.