Online GCD Calculator is useful to find the GCD of 782, 708, 949, 675 quickly. Get the easiest ways to solve the greatest common divisor of 782, 708, 949, 675 i.e 1 in different methods as follows.
Given Input numbers are 782, 708, 949, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 949 :
The positive integer divisors of 949 that completely divides 949 are.
1, 13, 73, 949
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (782, 708, 949, 675) = 1.
Given numbers are 782, 708, 949, 675
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 949 are 13 x 73
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 708, 949, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 708) = 276828
GCD(782, 708) = ( 782 x 708 ) / 276828
= 782 / 708
= 782
Step2:
LCM(2, 949) = 1898
GCD(2, 949) = ( 2 x 949 ) / 1898
= 2 / 949
= 2
Step3:
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
= 1 / 675
= 1
So, Greatest Common Divisor of 782, 708, 949, 675 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 708, 949, 675
The greatest common divisor of numbers 782, 708, 949, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 708, 949, 675 is 1.
1. What is the GCD of 782, 708, 949, 675?
GCD of given numbers 782, 708, 949, 675 is 1
2. How to calculate the greatest common divisor of 782, 708, 949, 675?
We can find the highest common divisor of 782, 708, 949, 675 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 782, 708, 949, 675 i.e 1.
3. How can I use the GCD of 782, 708, 949, 675Calculator?
Out the numbers 782, 708, 949, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.