Online GCD Calculator is useful to find the GCD of 655, 703, 748 quickly. Get the easiest ways to solve the greatest common divisor of 655, 703, 748 i.e 1 in different methods as follows.
Given Input numbers are 655, 703, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
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 (655, 703, 748) = 1.
Given numbers are 655, 703, 748
The list of prime factors of all numbers are
Prime factors of 655 are 5 x 131
Prime factors of 703 are 19 x 37
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 655, 703, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(655, 703) = 460465
GCD(655, 703) = ( 655 x 703 ) / 460465
= 655 / 703
= 655
Step2:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 655, 703, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 655, 703, 748
The greatest common divisor of numbers 655, 703, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 703, 748 is 1.
1. What is the GCD of 655, 703, 748?
GCD of given numbers 655, 703, 748 is 1
2. How to calculate the greatest common divisor of 655, 703, 748?
We can find the highest common divisor of 655, 703, 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 655, 703, 748 i.e 1.
3. How can I use the GCD of 655, 703, 748Calculator?
Out the numbers 655, 703, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.