Online GCD Calculator is useful to find the GCD of 343, 707, 565, 131 quickly. Get the easiest ways to solve the greatest common divisor of 343, 707, 565, 131 i.e 1 in different methods as follows.
Given Input numbers are 343, 707, 565, 131
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 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
GCD of numbers is the greatest common divisor
So, the GCD (343, 707, 565, 131) = 1.
Given numbers are 343, 707, 565, 131
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 707 are 7 x 101
Prime factors of 565 are 5 x 113
Prime factors of 131 are 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 707, 565, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 707) = 34643
GCD(343, 707) = ( 343 x 707 ) / 34643
= 343 / 707
= 343
Step2:
LCM(7, 565) = 3955
GCD(7, 565) = ( 7 x 565 ) / 3955
= 7 / 565
= 7
Step3:
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
= 1 / 131
= 1
So, Greatest Common Divisor of 343, 707, 565, 131 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 707, 565, 131
The greatest common divisor of numbers 343, 707, 565, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 707, 565, 131 is 1.
1. What is the GCD of 343, 707, 565, 131?
GCD of given numbers 343, 707, 565, 131 is 1
2. How to calculate the greatest common divisor of 343, 707, 565, 131?
We can find the highest common divisor of 343, 707, 565, 131 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, 707, 565, 131 i.e 1.
3. How can I use the GCD of 343, 707, 565, 131Calculator?
Out the numbers 343, 707, 565, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.