Online GCD Calculator is useful to find the GCD of 775, 705, 538 quickly. Get the easiest ways to solve the greatest common divisor of 775, 705, 538 i.e 1 in different methods as follows.
Given Input numbers are 775, 705, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (775, 705, 538) = 1.
Given numbers are 775, 705, 538
The list of prime factors of all numbers are
Prime factors of 775 are 5 x 5 x 31
Prime factors of 705 are 3 x 5 x 47
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 775, 705, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(775, 705) = 109275
GCD(775, 705) = ( 775 x 705 ) / 109275
= 775 / 705
= 775
Step2:
LCM(5, 538) = 2690
GCD(5, 538) = ( 5 x 538 ) / 2690
= 5 / 538
= 5
So, Greatest Common Divisor of 775, 705, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 775, 705, 538
The greatest common divisor of numbers 775, 705, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 775, 705, 538 is 1.
1. What is the GCD of 775, 705, 538?
GCD of given numbers 775, 705, 538 is 1
2. How to calculate the greatest common divisor of 775, 705, 538?
We can find the highest common divisor of 775, 705, 538 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 775, 705, 538 i.e 1.
3. How can I use the GCD of 775, 705, 538Calculator?
Out the numbers 775, 705, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.