Online GCD Calculator is useful to find the GCD of 180, 448, 893, 748 quickly. Get the easiest ways to solve the greatest common divisor of 180, 448, 893, 748 i.e 1 in different methods as follows.
Given Input numbers are 180, 448, 893, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 893 :
The positive integer divisors of 893 that completely divides 893 are.
1, 19, 47, 893
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (180, 448, 893, 748) = 1.
Given numbers are 180, 448, 893, 748
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 893 are 19 x 47
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 448, 893, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 448) = 20160
GCD(180, 448) = ( 180 x 448 ) / 20160
= 180 / 448
= 180
Step2:
LCM(4, 893) = 3572
GCD(4, 893) = ( 4 x 893 ) / 3572
= 4 / 893
= 4
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 180, 448, 893, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 448, 893, 748
The greatest common divisor of numbers 180, 448, 893, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 448, 893, 748 is 1.
1. What is the GCD of 180, 448, 893, 748?
GCD of given numbers 180, 448, 893, 748 is 1
2. How to calculate the greatest common divisor of 180, 448, 893, 748?
We can find the highest common divisor of 180, 448, 893, 748 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 180, 448, 893, 748 i.e 1.
3. How can I use the GCD of 180, 448, 893, 748Calculator?
Out the numbers 180, 448, 893, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.