Online GCD Calculator is useful to find the GCD of 360, 764, 618, 252 quickly. Get the easiest ways to solve the greatest common divisor of 360, 764, 618, 252 i.e 2 in different methods as follows.
Given Input numbers are 360, 764, 618, 252
In the factoring method, we have to find the divisors of all numbers
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
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 (360, 764, 618, 252) = 2.
Given numbers are 360, 764, 618, 252
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 764 are 2 x 2 x 191
Prime factors of 618 are 2 x 3 x 103
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 360, 764, 618, 252 is 2.
Given numbers are 360, 764, 618, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 764) = 68760
GCD(360, 764) = ( 360 x 764 ) / 68760
= 360 / 764
= 360
Step2:
LCM(4, 618) = 1236
GCD(4, 618) = ( 4 x 618 ) / 1236
= 4 / 618
= 4
Step3:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
So, Greatest Common Divisor of 360, 764, 618, 252 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 764, 618, 252
The greatest common divisor of numbers 360, 764, 618, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 764, 618, 252 is 2.
1. What is the GCD of 360, 764, 618, 252?
GCD of given numbers 360, 764, 618, 252 is 2
2. How to calculate the greatest common divisor of 360, 764, 618, 252?
We can find the highest common divisor of 360, 764, 618, 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 360, 764, 618, 252 i.e 2.
3. How can I use the GCD of 360, 764, 618, 252Calculator?
Out the numbers 360, 764, 618, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.