Online GCD Calculator is useful to find the GCD of 429, 343, 738, 769 quickly. Get the easiest ways to solve the greatest common divisor of 429, 343, 738, 769 i.e 1 in different methods as follows.
Given Input numbers are 429, 343, 738, 769
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
GCD of numbers is the greatest common divisor
So, the GCD (429, 343, 738, 769) = 1.
Given numbers are 429, 343, 738, 769
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 343 are 7 x 7 x 7
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 769 are 769
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 429, 343, 738, 769
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 343) = 147147
GCD(429, 343) = ( 429 x 343 ) / 147147
= 429 / 343
= 429
Step2:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
Step3:
LCM(1, 769) = 769
GCD(1, 769) = ( 1 x 769 ) / 769
= 1 / 769
= 1
So, Greatest Common Divisor of 429, 343, 738, 769 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 343, 738, 769
The greatest common divisor of numbers 429, 343, 738, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 343, 738, 769 is 1.
1. What is the GCD of 429, 343, 738, 769?
GCD of given numbers 429, 343, 738, 769 is 1
2. How to calculate the greatest common divisor of 429, 343, 738, 769?
We can find the highest common divisor of 429, 343, 738, 769 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 429, 343, 738, 769 i.e 1.
3. How can I use the GCD of 429, 343, 738, 769Calculator?
Out the numbers 429, 343, 738, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.