Online GCD Calculator is useful to find the GCD of 920, 314, 166, 670 quickly. Get the easiest ways to solve the greatest common divisor of 920, 314, 166, 670 i.e 2 in different methods as follows.
Given Input numbers are 920, 314, 166, 670
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
GCD of numbers is the greatest common divisor
So, the GCD (920, 314, 166, 670) = 2.
Given numbers are 920, 314, 166, 670
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 314 are 2 x 157
Prime factors of 166 are 2 x 83
Prime factors of 670 are 2 x 5 x 67
The highest common occurrence is 21
Therefore, GCD of 920, 314, 166, 670 is 2.
Given numbers are 920, 314, 166, 670
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 314) = 144440
GCD(920, 314) = ( 920 x 314 ) / 144440
= 920 / 314
= 920
Step2:
LCM(2, 166) = 166
GCD(2, 166) = ( 2 x 166 ) / 166
= 2 / 166
= 2
Step3:
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
= 2 / 670
= 2
So, Greatest Common Divisor of 920, 314, 166, 670 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 314, 166, 670
The greatest common divisor of numbers 920, 314, 166, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 314, 166, 670 is 2.
1. What is the GCD of 920, 314, 166, 670?
GCD of given numbers 920, 314, 166, 670 is 2
2. How to calculate the greatest common divisor of 920, 314, 166, 670?
We can find the highest common divisor of 920, 314, 166, 670 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 920, 314, 166, 670 i.e 2.
3. How can I use the GCD of 920, 314, 166, 670Calculator?
Out the numbers 920, 314, 166, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.