Online GCD Calculator is useful to find the GCD of 748, 382, 769, 969 quickly. Get the easiest ways to solve the greatest common divisor of 748, 382, 769, 969 i.e 1 in different methods as follows.
Given Input numbers are 748, 382, 769, 969
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 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (748, 382, 769, 969) = 1.
Given numbers are 748, 382, 769, 969
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 382 are 2 x 191
Prime factors of 769 are 769
Prime factors of 969 are 3 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 382, 769, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 382) = 142868
GCD(748, 382) = ( 748 x 382 ) / 142868
= 748 / 382
= 748
Step2:
LCM(2, 769) = 1538
GCD(2, 769) = ( 2 x 769 ) / 1538
= 2 / 769
= 2
Step3:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
So, Greatest Common Divisor of 748, 382, 769, 969 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 382, 769, 969
The greatest common divisor of numbers 748, 382, 769, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 382, 769, 969 is 1.
1. What is the GCD of 748, 382, 769, 969?
GCD of given numbers 748, 382, 769, 969 is 1
2. How to calculate the greatest common divisor of 748, 382, 769, 969?
We can find the highest common divisor of 748, 382, 769, 969 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, 382, 769, 969 i.e 1.
3. How can I use the GCD of 748, 382, 769, 969Calculator?
Out the numbers 748, 382, 769, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.