Online GCD Calculator is useful to find the GCD of 748, 356, 769, 689 quickly. Get the easiest ways to solve the greatest common divisor of 748, 356, 769, 689 i.e 1 in different methods as follows.
Given Input numbers are 748, 356, 769, 689
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 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (748, 356, 769, 689) = 1.
Given numbers are 748, 356, 769, 689
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 356 are 2 x 2 x 89
Prime factors of 769 are 769
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 356, 769, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 356) = 66572
GCD(748, 356) = ( 748 x 356 ) / 66572
= 748 / 356
= 748
Step2:
LCM(4, 769) = 3076
GCD(4, 769) = ( 4 x 769 ) / 3076
= 4 / 769
= 4
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 748, 356, 769, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 356, 769, 689
The greatest common divisor of numbers 748, 356, 769, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 356, 769, 689 is 1.
1. What is the GCD of 748, 356, 769, 689?
GCD of given numbers 748, 356, 769, 689 is 1
2. How to calculate the greatest common divisor of 748, 356, 769, 689?
We can find the highest common divisor of 748, 356, 769, 689 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, 356, 769, 689 i.e 1.
3. How can I use the GCD of 748, 356, 769, 689Calculator?
Out the numbers 748, 356, 769, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.