Online GCD Calculator is useful to find the GCD of 494, 600, 552, 775 quickly. Get the easiest ways to solve the greatest common divisor of 494, 600, 552, 775 i.e 1 in different methods as follows.
Given Input numbers are 494, 600, 552, 775
In the factoring method, we have to find the divisors of all numbers
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
GCD of numbers is the greatest common divisor
So, the GCD (494, 600, 552, 775) = 1.
Given numbers are 494, 600, 552, 775
The list of prime factors of all numbers are
Prime factors of 494 are 2 x 13 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 775 are 5 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 494, 600, 552, 775
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(494, 600) = 148200
GCD(494, 600) = ( 494 x 600 ) / 148200
= 494 / 600
= 494
Step2:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
Step3:
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
= 2 / 775
= 2
So, Greatest Common Divisor of 494, 600, 552, 775 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 494, 600, 552, 775
The greatest common divisor of numbers 494, 600, 552, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 600, 552, 775 is 1.
1. What is the GCD of 494, 600, 552, 775?
GCD of given numbers 494, 600, 552, 775 is 1
2. How to calculate the greatest common divisor of 494, 600, 552, 775?
We can find the highest common divisor of 494, 600, 552, 775 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 494, 600, 552, 775 i.e 1.
3. How can I use the GCD of 494, 600, 552, 775Calculator?
Out the numbers 494, 600, 552, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.