Online GCD Calculator is useful to find the GCD of 248, 470, 172 quickly. Get the easiest ways to solve the greatest common divisor of 248, 470, 172 i.e 2 in different methods as follows.
Given Input numbers are 248, 470, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (248, 470, 172) = 2.
Given numbers are 248, 470, 172
The list of prime factors of all numbers are
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 470 are 2 x 5 x 47
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 248, 470, 172 is 2.
Given numbers are 248, 470, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(248, 470) = 58280
GCD(248, 470) = ( 248 x 470 ) / 58280
= 248 / 470
= 248
Step2:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 248, 470, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 248, 470, 172
The greatest common divisor of numbers 248, 470, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 248, 470, 172 is 2.
1. What is the GCD of 248, 470, 172?
GCD of given numbers 248, 470, 172 is 2
2. How to calculate the greatest common divisor of 248, 470, 172?
We can find the highest common divisor of 248, 470, 172 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 248, 470, 172 i.e 2.
3. How can I use the GCD of 248, 470, 172Calculator?
Out the numbers 248, 470, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.