Online GCD Calculator is useful to find the GCD of 568, 870, 70, 168 quickly. Get the easiest ways to solve the greatest common divisor of 568, 870, 70, 168 i.e 2 in different methods as follows.
Given Input numbers are 568, 870, 70, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 568 :
The positive integer divisors of 568 that completely divides 568 are.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (568, 870, 70, 168) = 2.
Given numbers are 568, 870, 70, 168
The list of prime factors of all numbers are
Prime factors of 568 are 2 x 2 x 2 x 71
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 70 are 2 x 5 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 568, 870, 70, 168 is 2.
Given numbers are 568, 870, 70, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(568, 870) = 247080
GCD(568, 870) = ( 568 x 870 ) / 247080
= 568 / 870
= 568
Step2:
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
= 2 / 70
= 2
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 568, 870, 70, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 568, 870, 70, 168
The greatest common divisor of numbers 568, 870, 70, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 568, 870, 70, 168 is 2.
1. What is the GCD of 568, 870, 70, 168?
GCD of given numbers 568, 870, 70, 168 is 2
2. How to calculate the greatest common divisor of 568, 870, 70, 168?
We can find the highest common divisor of 568, 870, 70, 168 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 568, 870, 70, 168 i.e 2.
3. How can I use the GCD of 568, 870, 70, 168Calculator?
Out the numbers 568, 870, 70, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.