Online GCD Calculator is useful to find the GCD of 172, 220, 890, 252 quickly. Get the easiest ways to solve the greatest common divisor of 172, 220, 890, 252 i.e 2 in different methods as follows.
Given Input numbers are 172, 220, 890, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (172, 220, 890, 252) = 2.
Given numbers are 172, 220, 890, 252
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 890 are 2 x 5 x 89
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 172, 220, 890, 252 is 2.
Given numbers are 172, 220, 890, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 220) = 9460
GCD(172, 220) = ( 172 x 220 ) / 9460
= 172 / 220
= 172
Step2:
LCM(4, 890) = 1780
GCD(4, 890) = ( 4 x 890 ) / 1780
= 4 / 890
= 4
Step3:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
So, Greatest Common Divisor of 172, 220, 890, 252 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 220, 890, 252
The greatest common divisor of numbers 172, 220, 890, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 220, 890, 252 is 2.
1. What is the GCD of 172, 220, 890, 252?
GCD of given numbers 172, 220, 890, 252 is 2
2. How to calculate the greatest common divisor of 172, 220, 890, 252?
We can find the highest common divisor of 172, 220, 890, 252 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 172, 220, 890, 252 i.e 2.
3. How can I use the GCD of 172, 220, 890, 252Calculator?
Out the numbers 172, 220, 890, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.