Online GCD Calculator is useful to find the GCD of 486, 548, 763, 782 quickly. Get the easiest ways to solve the greatest common divisor of 486, 548, 763, 782 i.e 1 in different methods as follows.
Given Input numbers are 486, 548, 763, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 763 :
The positive integer divisors of 763 that completely divides 763 are.
1, 7, 109, 763
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (486, 548, 763, 782) = 1.
Given numbers are 486, 548, 763, 782
The list of prime factors of all numbers are
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 548 are 2 x 2 x 137
Prime factors of 763 are 7 x 109
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 486, 548, 763, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(486, 548) = 133164
GCD(486, 548) = ( 486 x 548 ) / 133164
= 486 / 548
= 486
Step2:
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
= 2 / 763
= 2
Step3:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
So, Greatest Common Divisor of 486, 548, 763, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 486, 548, 763, 782
The greatest common divisor of numbers 486, 548, 763, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 548, 763, 782 is 1.
1. What is the GCD of 486, 548, 763, 782?
GCD of given numbers 486, 548, 763, 782 is 1
2. How to calculate the greatest common divisor of 486, 548, 763, 782?
We can find the highest common divisor of 486, 548, 763, 782 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 486, 548, 763, 782 i.e 1.
3. How can I use the GCD of 486, 548, 763, 782Calculator?
Out the numbers 486, 548, 763, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.