Online GCD Calculator is useful to find the GCD of 704, 214, 958, 977 quickly. Get the easiest ways to solve the greatest common divisor of 704, 214, 958, 977 i.e 1 in different methods as follows.
Given Input numbers are 704, 214, 958, 977
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
GCD of numbers is the greatest common divisor
So, the GCD (704, 214, 958, 977) = 1.
Given numbers are 704, 214, 958, 977
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 214 are 2 x 107
Prime factors of 958 are 2 x 479
Prime factors of 977 are 977
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 214, 958, 977
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 214) = 75328
GCD(704, 214) = ( 704 x 214 ) / 75328
= 704 / 214
= 704
Step2:
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
= 2 / 958
= 2
Step3:
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
= 2 / 977
= 2
So, Greatest Common Divisor of 704, 214, 958, 977 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 214, 958, 977
The greatest common divisor of numbers 704, 214, 958, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 214, 958, 977 is 1.
1. What is the GCD of 704, 214, 958, 977?
GCD of given numbers 704, 214, 958, 977 is 1
2. How to calculate the greatest common divisor of 704, 214, 958, 977?
We can find the highest common divisor of 704, 214, 958, 977 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, 214, 958, 977 i.e 1.
3. How can I use the GCD of 704, 214, 958, 977Calculator?
Out the numbers 704, 214, 958, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.