Online GCD Calculator is useful to find the GCD of 343, 861, 120, 688 quickly. Get the easiest ways to solve the greatest common divisor of 343, 861, 120, 688 i.e 1 in different methods as follows.
Given Input numbers are 343, 861, 120, 688
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 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (343, 861, 120, 688) = 1.
Given numbers are 343, 861, 120, 688
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 861 are 3 x 7 x 41
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 861, 120, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 861) = 42189
GCD(343, 861) = ( 343 x 861 ) / 42189
= 343 / 861
= 343
Step2:
LCM(7, 120) = 840
GCD(7, 120) = ( 7 x 120 ) / 840
= 7 / 120
= 7
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 343, 861, 120, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 861, 120, 688
The greatest common divisor of numbers 343, 861, 120, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 861, 120, 688 is 1.
1. What is the GCD of 343, 861, 120, 688?
GCD of given numbers 343, 861, 120, 688 is 1
2. How to calculate the greatest common divisor of 343, 861, 120, 688?
We can find the highest common divisor of 343, 861, 120, 688 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, 861, 120, 688 i.e 1.
3. How can I use the GCD of 343, 861, 120, 688Calculator?
Out the numbers 343, 861, 120, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.