Online GCD Calculator is useful to find the GCD of 705, 755, 490, 493 quickly. Get the easiest ways to solve the greatest common divisor of 705, 755, 490, 493 i.e 1 in different methods as follows.
Given Input numbers are 705, 755, 490, 493
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (705, 755, 490, 493) = 1.
Given numbers are 705, 755, 490, 493
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 755 are 5 x 151
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 755, 490, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 755) = 106455
GCD(705, 755) = ( 705 x 755 ) / 106455
= 705 / 755
= 705
Step2:
LCM(5, 490) = 490
GCD(5, 490) = ( 5 x 490 ) / 490
= 5 / 490
= 5
Step3:
LCM(5, 493) = 2465
GCD(5, 493) = ( 5 x 493 ) / 2465
= 5 / 493
= 5
So, Greatest Common Divisor of 705, 755, 490, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 755, 490, 493
The greatest common divisor of numbers 705, 755, 490, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 755, 490, 493 is 1.
1. What is the GCD of 705, 755, 490, 493?
GCD of given numbers 705, 755, 490, 493 is 1
2. How to calculate the greatest common divisor of 705, 755, 490, 493?
We can find the highest common divisor of 705, 755, 490, 493 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 705, 755, 490, 493 i.e 1.
3. How can I use the GCD of 705, 755, 490, 493Calculator?
Out the numbers 705, 755, 490, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.