Online GCD Calculator is useful to find the GCD of 700, 558, 960, 904 quickly. Get the easiest ways to solve the greatest common divisor of 700, 558, 960, 904 i.e 2 in different methods as follows.
Given Input numbers are 700, 558, 960, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (700, 558, 960, 904) = 2.
Given numbers are 700, 558, 960, 904
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 700, 558, 960, 904 is 2.
Given numbers are 700, 558, 960, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 558) = 195300
GCD(700, 558) = ( 700 x 558 ) / 195300
= 700 / 558
= 700
Step2:
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
= 2 / 960
= 2
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 700, 558, 960, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 558, 960, 904
The greatest common divisor of numbers 700, 558, 960, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 558, 960, 904 is 2.
1. What is the GCD of 700, 558, 960, 904?
GCD of given numbers 700, 558, 960, 904 is 2
2. How to calculate the greatest common divisor of 700, 558, 960, 904?
We can find the highest common divisor of 700, 558, 960, 904 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 700, 558, 960, 904 i.e 2.
3. How can I use the GCD of 700, 558, 960, 904Calculator?
Out the numbers 700, 558, 960, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.