Online GCD Calculator is useful to find the GCD of 345, 397, 768, 707 quickly. Get the easiest ways to solve the greatest common divisor of 345, 397, 768, 707 i.e 1 in different methods as follows.
Given Input numbers are 345, 397, 768, 707
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
GCD of numbers is the greatest common divisor
So, the GCD (345, 397, 768, 707) = 1.
Given numbers are 345, 397, 768, 707
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 397 are 397
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 707 are 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 397, 768, 707
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 397) = 136965
GCD(345, 397) = ( 345 x 397 ) / 136965
= 345 / 397
= 345
Step2:
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
= 1 / 768
= 1
Step3:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
So, Greatest Common Divisor of 345, 397, 768, 707 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 397, 768, 707
The greatest common divisor of numbers 345, 397, 768, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 397, 768, 707 is 1.
1. What is the GCD of 345, 397, 768, 707?
GCD of given numbers 345, 397, 768, 707 is 1
2. How to calculate the greatest common divisor of 345, 397, 768, 707?
We can find the highest common divisor of 345, 397, 768, 707 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 345, 397, 768, 707 i.e 1.
3. How can I use the GCD of 345, 397, 768, 707Calculator?
Out the numbers 345, 397, 768, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.