Online GCD Calculator is useful to find the GCD of 460, 748, 633, 588 quickly. Get the easiest ways to solve the greatest common divisor of 460, 748, 633, 588 i.e 1 in different methods as follows.
Given Input numbers are 460, 748, 633, 588
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
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 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
GCD of numbers is the greatest common divisor
So, the GCD (460, 748, 633, 588) = 1.
Given numbers are 460, 748, 633, 588
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 633 are 3 x 211
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 748, 633, 588
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 748) = 86020
GCD(460, 748) = ( 460 x 748 ) / 86020
= 460 / 748
= 460
Step2:
LCM(4, 633) = 2532
GCD(4, 633) = ( 4 x 633 ) / 2532
= 4 / 633
= 4
Step3:
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
= 1 / 588
= 1
So, Greatest Common Divisor of 460, 748, 633, 588 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 748, 633, 588
The greatest common divisor of numbers 460, 748, 633, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 748, 633, 588 is 1.
1. What is the GCD of 460, 748, 633, 588?
GCD of given numbers 460, 748, 633, 588 is 1
2. How to calculate the greatest common divisor of 460, 748, 633, 588?
We can find the highest common divisor of 460, 748, 633, 588 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 460, 748, 633, 588 i.e 1.
3. How can I use the GCD of 460, 748, 633, 588Calculator?
Out the numbers 460, 748, 633, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.