Online GCD Calculator is useful to find the GCD of 172, 972, 174, 520 quickly. Get the easiest ways to solve the greatest common divisor of 172, 972, 174, 520 i.e 2 in different methods as follows.
Given Input numbers are 172, 972, 174, 520
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 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (172, 972, 174, 520) = 2.
Given numbers are 172, 972, 174, 520
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 174 are 2 x 3 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 172, 972, 174, 520 is 2.
Given numbers are 172, 972, 174, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 972) = 41796
GCD(172, 972) = ( 172 x 972 ) / 41796
= 172 / 972
= 172
Step2:
LCM(4, 174) = 348
GCD(4, 174) = ( 4 x 174 ) / 348
= 4 / 174
= 4
Step3:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
So, Greatest Common Divisor of 172, 972, 174, 520 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 972, 174, 520
The greatest common divisor of numbers 172, 972, 174, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 972, 174, 520 is 2.
1. What is the GCD of 172, 972, 174, 520?
GCD of given numbers 172, 972, 174, 520 is 2
2. How to calculate the greatest common divisor of 172, 972, 174, 520?
We can find the highest common divisor of 172, 972, 174, 520 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, 972, 174, 520 i.e 2.
3. How can I use the GCD of 172, 972, 174, 520Calculator?
Out the numbers 172, 972, 174, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.