Online GCD Calculator is useful to find the GCD of 704, 749, 649, 567 quickly. Get the easiest ways to solve the greatest common divisor of 704, 749, 649, 567 i.e 1 in different methods as follows.
Given Input numbers are 704, 749, 649, 567
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 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
GCD of numbers is the greatest common divisor
So, the GCD (704, 749, 649, 567) = 1.
Given numbers are 704, 749, 649, 567
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 749 are 7 x 107
Prime factors of 649 are 11 x 59
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 749, 649, 567
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 749) = 527296
GCD(704, 749) = ( 704 x 749 ) / 527296
= 704 / 749
= 704
Step2:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
Step3:
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
= 1 / 567
= 1
So, Greatest Common Divisor of 704, 749, 649, 567 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 749, 649, 567
The greatest common divisor of numbers 704, 749, 649, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 749, 649, 567 is 1.
1. What is the GCD of 704, 749, 649, 567?
GCD of given numbers 704, 749, 649, 567 is 1
2. How to calculate the greatest common divisor of 704, 749, 649, 567?
We can find the highest common divisor of 704, 749, 649, 567 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, 749, 649, 567 i.e 1.
3. How can I use the GCD of 704, 749, 649, 567Calculator?
Out the numbers 704, 749, 649, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.