Online GCD Calculator is useful to find the GCD of 769, 748, 438, 422 quickly. Get the easiest ways to solve the greatest common divisor of 769, 748, 438, 422 i.e 1 in different methods as follows.
Given Input numbers are 769, 748, 438, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
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 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (769, 748, 438, 422) = 1.
Given numbers are 769, 748, 438, 422
The list of prime factors of all numbers are
Prime factors of 769 are 769
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 438 are 2 x 3 x 73
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 769, 748, 438, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(769, 748) = 575212
GCD(769, 748) = ( 769 x 748 ) / 575212
= 769 / 748
= 769
Step2:
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
= 1 / 438
= 1
Step3:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 769, 748, 438, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 769, 748, 438, 422
The greatest common divisor of numbers 769, 748, 438, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 769, 748, 438, 422 is 1.
1. What is the GCD of 769, 748, 438, 422?
GCD of given numbers 769, 748, 438, 422 is 1
2. How to calculate the greatest common divisor of 769, 748, 438, 422?
We can find the highest common divisor of 769, 748, 438, 422 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 769, 748, 438, 422 i.e 1.
3. How can I use the GCD of 769, 748, 438, 422Calculator?
Out the numbers 769, 748, 438, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.