Online GCD Calculator is useful to find the GCD of 892, 732, 500, 238 quickly. Get the easiest ways to solve the greatest common divisor of 892, 732, 500, 238 i.e 2 in different methods as follows.
Given Input numbers are 892, 732, 500, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (892, 732, 500, 238) = 2.
Given numbers are 892, 732, 500, 238
The list of prime factors of all numbers are
Prime factors of 892 are 2 x 2 x 223
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 892, 732, 500, 238 is 2.
Given numbers are 892, 732, 500, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(892, 732) = 163236
GCD(892, 732) = ( 892 x 732 ) / 163236
= 892 / 732
= 892
Step2:
LCM(4, 500) = 500
GCD(4, 500) = ( 4 x 500 ) / 500
= 4 / 500
= 4
Step3:
LCM(4, 238) = 476
GCD(4, 238) = ( 4 x 238 ) / 476
= 4 / 238
= 4
So, Greatest Common Divisor of 892, 732, 500, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 892, 732, 500, 238
The greatest common divisor of numbers 892, 732, 500, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 732, 500, 238 is 2.
1. What is the GCD of 892, 732, 500, 238?
GCD of given numbers 892, 732, 500, 238 is 2
2. How to calculate the greatest common divisor of 892, 732, 500, 238?
We can find the highest common divisor of 892, 732, 500, 238 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 892, 732, 500, 238 i.e 2.
3. How can I use the GCD of 892, 732, 500, 238Calculator?
Out the numbers 892, 732, 500, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.