Online GCD Calculator is useful to find the GCD of 345, 534, 472, 709 quickly. Get the easiest ways to solve the greatest common divisor of 345, 534, 472, 709 i.e 1 in different methods as follows.
Given Input numbers are 345, 534, 472, 709
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 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (345, 534, 472, 709) = 1.
Given numbers are 345, 534, 472, 709
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 534 are 2 x 3 x 89
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 534, 472, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 534) = 61410
GCD(345, 534) = ( 345 x 534 ) / 61410
= 345 / 534
= 345
Step2:
LCM(3, 472) = 1416
GCD(3, 472) = ( 3 x 472 ) / 1416
= 3 / 472
= 3
Step3:
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
= 1 / 709
= 1
So, Greatest Common Divisor of 345, 534, 472, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 534, 472, 709
The greatest common divisor of numbers 345, 534, 472, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 534, 472, 709 is 1.
1. What is the GCD of 345, 534, 472, 709?
GCD of given numbers 345, 534, 472, 709 is 1
2. How to calculate the greatest common divisor of 345, 534, 472, 709?
We can find the highest common divisor of 345, 534, 472, 709 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, 534, 472, 709 i.e 1.
3. How can I use the GCD of 345, 534, 472, 709Calculator?
Out the numbers 345, 534, 472, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.