Online GCD Calculator is useful to find the GCD of 513, 426, 748, 177 quickly. Get the easiest ways to solve the greatest common divisor of 513, 426, 748, 177 i.e 1 in different methods as follows.
Given Input numbers are 513, 426, 748, 177
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
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 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (513, 426, 748, 177) = 1.
Given numbers are 513, 426, 748, 177
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 426 are 2 x 3 x 71
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 426, 748, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 426) = 72846
GCD(513, 426) = ( 513 x 426 ) / 72846
= 513 / 426
= 513
Step2:
LCM(3, 748) = 2244
GCD(3, 748) = ( 3 x 748 ) / 2244
= 3 / 748
= 3
Step3:
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
= 1 / 177
= 1
So, Greatest Common Divisor of 513, 426, 748, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 426, 748, 177
The greatest common divisor of numbers 513, 426, 748, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 426, 748, 177 is 1.
1. What is the GCD of 513, 426, 748, 177?
GCD of given numbers 513, 426, 748, 177 is 1
2. How to calculate the greatest common divisor of 513, 426, 748, 177?
We can find the highest common divisor of 513, 426, 748, 177 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 513, 426, 748, 177 i.e 1.
3. How can I use the GCD of 513, 426, 748, 177Calculator?
Out the numbers 513, 426, 748, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.