Online GCD Calculator is useful to find the GCD of 252, 360, 370, 992 quickly. Get the easiest ways to solve the greatest common divisor of 252, 360, 370, 992 i.e 2 in different methods as follows.
Given Input numbers are 252, 360, 370, 992
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (252, 360, 370, 992) = 2.
Given numbers are 252, 360, 370, 992
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 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 370 are 2 x 5 x 37
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 252, 360, 370, 992 is 2.
Given numbers are 252, 360, 370, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 360) = 2520
GCD(252, 360) = ( 252 x 360 ) / 2520
= 252 / 360
= 252
Step2:
LCM(36, 370) = 6660
GCD(36, 370) = ( 36 x 370 ) / 6660
= 36 / 370
= 36
Step3:
LCM(2, 992) = 992
GCD(2, 992) = ( 2 x 992 ) / 992
= 2 / 992
= 2
So, Greatest Common Divisor of 252, 360, 370, 992 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 360, 370, 992
The greatest common divisor of numbers 252, 360, 370, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 360, 370, 992 is 2.
1. What is the GCD of 252, 360, 370, 992?
GCD of given numbers 252, 360, 370, 992 is 2
2. How to calculate the greatest common divisor of 252, 360, 370, 992?
We can find the highest common divisor of 252, 360, 370, 992 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, 360, 370, 992 i.e 2.
3. How can I use the GCD of 252, 360, 370, 992Calculator?
Out the numbers 252, 360, 370, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.