Online GCD Calculator is useful to find the GCD of 148, 897, 748 quickly. Get the easiest ways to solve the greatest common divisor of 148, 897, 748 i.e 1 in different methods as follows.
Given Input numbers are 148, 897, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
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 (148, 897, 748) = 1.
Given numbers are 148, 897, 748
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 897 are 3 x 13 x 23
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 148, 897, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 897) = 132756
GCD(148, 897) = ( 148 x 897 ) / 132756
= 148 / 897
= 148
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 148, 897, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 897, 748
The greatest common divisor of numbers 148, 897, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 897, 748 is 1.
1. What is the GCD of 148, 897, 748?
GCD of given numbers 148, 897, 748 is 1
2. How to calculate the greatest common divisor of 148, 897, 748?
We can find the highest common divisor of 148, 897, 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 148, 897, 748 i.e 1.
3. How can I use the GCD of 148, 897, 748Calculator?
Out the numbers 148, 897, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.