Online GCD Calculator is useful to find the GCD of 832, 893, 748, 144 quickly. Get the easiest ways to solve the greatest common divisor of 832, 893, 748, 144 i.e 1 in different methods as follows.
Given Input numbers are 832, 893, 748, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
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
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (832, 893, 748, 144) = 1.
Given numbers are 832, 893, 748, 144
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 893 are 19 x 47
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 832, 893, 748, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 893) = 742976
GCD(832, 893) = ( 832 x 893 ) / 742976
= 832 / 893
= 832
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 832, 893, 748, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 893, 748, 144
The greatest common divisor of numbers 832, 893, 748, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 893, 748, 144 is 1.
1. What is the GCD of 832, 893, 748, 144?
GCD of given numbers 832, 893, 748, 144 is 1
2. How to calculate the greatest common divisor of 832, 893, 748, 144?
We can find the highest common divisor of 832, 893, 748, 144 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 832, 893, 748, 144 i.e 1.
3. How can I use the GCD of 832, 893, 748, 144Calculator?
Out the numbers 832, 893, 748, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.