Online GCD Calculator is useful to find the GCD of 880, 370, 282, 164 quickly. Get the easiest ways to solve the greatest common divisor of 880, 370, 282, 164 i.e 2 in different methods as follows.
Given Input numbers are 880, 370, 282, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (880, 370, 282, 164) = 2.
Given numbers are 880, 370, 282, 164
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 370 are 2 x 5 x 37
Prime factors of 282 are 2 x 3 x 47
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 880, 370, 282, 164 is 2.
Given numbers are 880, 370, 282, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 370) = 32560
GCD(880, 370) = ( 880 x 370 ) / 32560
= 880 / 370
= 880
Step2:
LCM(10, 282) = 1410
GCD(10, 282) = ( 10 x 282 ) / 1410
= 10 / 282
= 10
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 880, 370, 282, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 370, 282, 164
The greatest common divisor of numbers 880, 370, 282, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 370, 282, 164 is 2.
1. What is the GCD of 880, 370, 282, 164?
GCD of given numbers 880, 370, 282, 164 is 2
2. How to calculate the greatest common divisor of 880, 370, 282, 164?
We can find the highest common divisor of 880, 370, 282, 164 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 880, 370, 282, 164 i.e 2.
3. How can I use the GCD of 880, 370, 282, 164Calculator?
Out the numbers 880, 370, 282, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.