Online GCD Calculator is useful to find the GCD of 704, 958, 970, 922 quickly. Get the easiest ways to solve the greatest common divisor of 704, 958, 970, 922 i.e 2 in different methods as follows.
Given Input numbers are 704, 958, 970, 922
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 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
GCD of numbers is the greatest common divisor
So, the GCD (704, 958, 970, 922) = 2.
Given numbers are 704, 958, 970, 922
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 958 are 2 x 479
Prime factors of 970 are 2 x 5 x 97
Prime factors of 922 are 2 x 461
The highest common occurrence is 21
Therefore, GCD of 704, 958, 970, 922 is 2.
Given numbers are 704, 958, 970, 922
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 958) = 337216
GCD(704, 958) = ( 704 x 958 ) / 337216
= 704 / 958
= 704
Step2:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
Step3:
LCM(2, 922) = 922
GCD(2, 922) = ( 2 x 922 ) / 922
= 2 / 922
= 2
So, Greatest Common Divisor of 704, 958, 970, 922 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 958, 970, 922
The greatest common divisor of numbers 704, 958, 970, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 958, 970, 922 is 2.
1. What is the GCD of 704, 958, 970, 922?
GCD of given numbers 704, 958, 970, 922 is 2
2. How to calculate the greatest common divisor of 704, 958, 970, 922?
We can find the highest common divisor of 704, 958, 970, 922 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, 958, 970, 922 i.e 2.
3. How can I use the GCD of 704, 958, 970, 922Calculator?
Out the numbers 704, 958, 970, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.