Online GCD Calculator is useful to find the GCD of 748, 731, 153, 705 quickly. Get the easiest ways to solve the greatest common divisor of 748, 731, 153, 705 i.e 1 in different methods as follows.
Given Input numbers are 748, 731, 153, 705
In the factoring method, we have to find the divisors of all numbers
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 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (748, 731, 153, 705) = 1.
Given numbers are 748, 731, 153, 705
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 731 are 17 x 43
Prime factors of 153 are 3 x 3 x 17
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 731, 153, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 731) = 32164
GCD(748, 731) = ( 748 x 731 ) / 32164
= 748 / 731
= 748
Step2:
LCM(17, 153) = 153
GCD(17, 153) = ( 17 x 153 ) / 153
= 17 / 153
= 17
Step3:
LCM(17, 705) = 11985
GCD(17, 705) = ( 17 x 705 ) / 11985
= 17 / 705
= 17
So, Greatest Common Divisor of 748, 731, 153, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 731, 153, 705
The greatest common divisor of numbers 748, 731, 153, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 731, 153, 705 is 1.
1. What is the GCD of 748, 731, 153, 705?
GCD of given numbers 748, 731, 153, 705 is 1
2. How to calculate the greatest common divisor of 748, 731, 153, 705?
We can find the highest common divisor of 748, 731, 153, 705 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 748, 731, 153, 705 i.e 1.
3. How can I use the GCD of 748, 731, 153, 705Calculator?
Out the numbers 748, 731, 153, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.