Online GCD Calculator is useful to find the GCD of 704, 358, 491, 741 quickly. Get the easiest ways to solve the greatest common divisor of 704, 358, 491, 741 i.e 1 in different methods as follows.
Given Input numbers are 704, 358, 491, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 491 :
The positive integer divisors of 491 that completely divides 491 are.
1, 491
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (704, 358, 491, 741) = 1.
Given numbers are 704, 358, 491, 741
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 358 are 2 x 179
Prime factors of 491 are 491
Prime factors of 741 are 3 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 358, 491, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 358) = 126016
GCD(704, 358) = ( 704 x 358 ) / 126016
= 704 / 358
= 704
Step2:
LCM(2, 491) = 982
GCD(2, 491) = ( 2 x 491 ) / 982
= 2 / 491
= 2
Step3:
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
= 1 / 741
= 1
So, Greatest Common Divisor of 704, 358, 491, 741 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 358, 491, 741
The greatest common divisor of numbers 704, 358, 491, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 358, 491, 741 is 1.
1. What is the GCD of 704, 358, 491, 741?
GCD of given numbers 704, 358, 491, 741 is 1
2. How to calculate the greatest common divisor of 704, 358, 491, 741?
We can find the highest common divisor of 704, 358, 491, 741 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 704, 358, 491, 741 i.e 1.
3. How can I use the GCD of 704, 358, 491, 741Calculator?
Out the numbers 704, 358, 491, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.