Online GCD Calculator is useful to find the GCD of 252, 172, 694, 924 quickly. Get the easiest ways to solve the greatest common divisor of 252, 172, 694, 924 i.e 2 in different methods as follows.
Given Input numbers are 252, 172, 694, 924
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (252, 172, 694, 924) = 2.
Given numbers are 252, 172, 694, 924
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 172 are 2 x 2 x 43
Prime factors of 694 are 2 x 347
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 252, 172, 694, 924 is 2.
Given numbers are 252, 172, 694, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 172) = 10836
GCD(252, 172) = ( 252 x 172 ) / 10836
= 252 / 172
= 252
Step2:
LCM(4, 694) = 1388
GCD(4, 694) = ( 4 x 694 ) / 1388
= 4 / 694
= 4
Step3:
LCM(2, 924) = 924
GCD(2, 924) = ( 2 x 924 ) / 924
= 2 / 924
= 2
So, Greatest Common Divisor of 252, 172, 694, 924 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 172, 694, 924
The greatest common divisor of numbers 252, 172, 694, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 172, 694, 924 is 2.
1. What is the GCD of 252, 172, 694, 924?
GCD of given numbers 252, 172, 694, 924 is 2
2. How to calculate the greatest common divisor of 252, 172, 694, 924?
We can find the highest common divisor of 252, 172, 694, 924 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 252, 172, 694, 924 i.e 2.
3. How can I use the GCD of 252, 172, 694, 924Calculator?
Out the numbers 252, 172, 694, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.