Online GCD Calculator is useful to find the GCD of 380, 268, 902, 224 quickly. Get the easiest ways to solve the greatest common divisor of 380, 268, 902, 224 i.e 2 in different methods as follows.
Given Input numbers are 380, 268, 902, 224
In the factoring method, we have to find the divisors of all numbers
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (380, 268, 902, 224) = 2.
Given numbers are 380, 268, 902, 224
The list of prime factors of all numbers are
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 268 are 2 x 2 x 67
Prime factors of 902 are 2 x 11 x 41
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 380, 268, 902, 224 is 2.
Given numbers are 380, 268, 902, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(380, 268) = 25460
GCD(380, 268) = ( 380 x 268 ) / 25460
= 380 / 268
= 380
Step2:
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
= 4 / 902
= 4
Step3:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
So, Greatest Common Divisor of 380, 268, 902, 224 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 380, 268, 902, 224
The greatest common divisor of numbers 380, 268, 902, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 268, 902, 224 is 2.
1. What is the GCD of 380, 268, 902, 224?
GCD of given numbers 380, 268, 902, 224 is 2
2. How to calculate the greatest common divisor of 380, 268, 902, 224?
We can find the highest common divisor of 380, 268, 902, 224 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 380, 268, 902, 224 i.e 2.
3. How can I use the GCD of 380, 268, 902, 224Calculator?
Out the numbers 380, 268, 902, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.