Online GCD Calculator is useful to find the GCD of 704, 428, 714, 751 quickly. Get the easiest ways to solve the greatest common divisor of 704, 428, 714, 751 i.e 1 in different methods as follows.
Given Input numbers are 704, 428, 714, 751
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 751 :
The positive integer divisors of 751 that completely divides 751 are.
1, 751
GCD of numbers is the greatest common divisor
So, the GCD (704, 428, 714, 751) = 1.
Given numbers are 704, 428, 714, 751
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 428 are 2 x 2 x 107
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 751 are 751
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 428, 714, 751
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 428) = 75328
GCD(704, 428) = ( 704 x 428 ) / 75328
= 704 / 428
= 704
Step2:
LCM(4, 714) = 1428
GCD(4, 714) = ( 4 x 714 ) / 1428
= 4 / 714
= 4
Step3:
LCM(2, 751) = 1502
GCD(2, 751) = ( 2 x 751 ) / 1502
= 2 / 751
= 2
So, Greatest Common Divisor of 704, 428, 714, 751 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 428, 714, 751
The greatest common divisor of numbers 704, 428, 714, 751 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 428, 714, 751 is 1.
1. What is the GCD of 704, 428, 714, 751?
GCD of given numbers 704, 428, 714, 751 is 1
2. How to calculate the greatest common divisor of 704, 428, 714, 751?
We can find the highest common divisor of 704, 428, 714, 751 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, 428, 714, 751 i.e 1.
3. How can I use the GCD of 704, 428, 714, 751Calculator?
Out the numbers 704, 428, 714, 751 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.