Online GCD Calculator is useful to find the GCD of 334, 345, 142, 688 quickly. Get the easiest ways to solve the greatest common divisor of 334, 345, 142, 688 i.e 1 in different methods as follows.
Given Input numbers are 334, 345, 142, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
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 (334, 345, 142, 688) = 1.
Given numbers are 334, 345, 142, 688
The list of prime factors of all numbers are
Prime factors of 334 are 2 x 167
Prime factors of 345 are 3 x 5 x 23
Prime factors of 142 are 2 x 71
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 334, 345, 142, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(334, 345) = 115230
GCD(334, 345) = ( 334 x 345 ) / 115230
= 334 / 345
= 334
Step2:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 334, 345, 142, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 334, 345, 142, 688
The greatest common divisor of numbers 334, 345, 142, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 345, 142, 688 is 1.
1. What is the GCD of 334, 345, 142, 688?
GCD of given numbers 334, 345, 142, 688 is 1
2. How to calculate the greatest common divisor of 334, 345, 142, 688?
We can find the highest common divisor of 334, 345, 142, 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 334, 345, 142, 688 i.e 1.
3. How can I use the GCD of 334, 345, 142, 688Calculator?
Out the numbers 334, 345, 142, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.