Online GCD Calculator is useful to find the GCD of 343, 687, 429, 152 quickly. Get the easiest ways to solve the greatest common divisor of 343, 687, 429, 152 i.e 1 in different methods as follows.
Given Input numbers are 343, 687, 429, 152
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (343, 687, 429, 152) = 1.
Given numbers are 343, 687, 429, 152
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 687 are 3 x 229
Prime factors of 429 are 3 x 11 x 13
Prime factors of 152 are 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 687, 429, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 687) = 235641
GCD(343, 687) = ( 343 x 687 ) / 235641
= 343 / 687
= 343
Step2:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
Step3:
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
= 1 / 152
= 1
So, Greatest Common Divisor of 343, 687, 429, 152 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 687, 429, 152
The greatest common divisor of numbers 343, 687, 429, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 687, 429, 152 is 1.
1. What is the GCD of 343, 687, 429, 152?
GCD of given numbers 343, 687, 429, 152 is 1
2. How to calculate the greatest common divisor of 343, 687, 429, 152?
We can find the highest common divisor of 343, 687, 429, 152 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 343, 687, 429, 152 i.e 1.
3. How can I use the GCD of 343, 687, 429, 152Calculator?
Out the numbers 343, 687, 429, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.