Online GCD Calculator is useful to find the GCD of 456, 680, 538, 741 quickly. Get the easiest ways to solve the greatest common divisor of 456, 680, 538, 741 i.e 1 in different methods as follows.
Given Input numbers are 456, 680, 538, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (456, 680, 538, 741) = 1.
Given numbers are 456, 680, 538, 741
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 538 are 2 x 269
Prime factors of 741 are 3 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 456, 680, 538, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 680) = 38760
GCD(456, 680) = ( 456 x 680 ) / 38760
= 456 / 680
= 456
Step2:
LCM(8, 538) = 2152
GCD(8, 538) = ( 8 x 538 ) / 2152
= 8 / 538
= 8
Step3:
LCM(2, 741) = 1482
GCD(2, 741) = ( 2 x 741 ) / 1482
= 2 / 741
= 2
So, Greatest Common Divisor of 456, 680, 538, 741 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 680, 538, 741
The greatest common divisor of numbers 456, 680, 538, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 680, 538, 741 is 1.
1. What is the GCD of 456, 680, 538, 741?
GCD of given numbers 456, 680, 538, 741 is 1
2. How to calculate the greatest common divisor of 456, 680, 538, 741?
We can find the highest common divisor of 456, 680, 538, 741 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 456, 680, 538, 741 i.e 1.
3. How can I use the GCD of 456, 680, 538, 741Calculator?
Out the numbers 456, 680, 538, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.