Online GCD Calculator is useful to find the GCD of 567, 720, 340, 294 quickly. Get the easiest ways to solve the greatest common divisor of 567, 720, 340, 294 i.e 1 in different methods as follows.
Given Input numbers are 567, 720, 340, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (567, 720, 340, 294) = 1.
Given numbers are 567, 720, 340, 294
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 294 are 2 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 720, 340, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 720) = 45360
GCD(567, 720) = ( 567 x 720 ) / 45360
= 567 / 720
= 567
Step2:
LCM(9, 340) = 3060
GCD(9, 340) = ( 9 x 340 ) / 3060
= 9 / 340
= 9
Step3:
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
= 1 / 294
= 1
So, Greatest Common Divisor of 567, 720, 340, 294 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 720, 340, 294
The greatest common divisor of numbers 567, 720, 340, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 720, 340, 294 is 1.
1. What is the GCD of 567, 720, 340, 294?
GCD of given numbers 567, 720, 340, 294 is 1
2. How to calculate the greatest common divisor of 567, 720, 340, 294?
We can find the highest common divisor of 567, 720, 340, 294 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 567, 720, 340, 294 i.e 1.
3. How can I use the GCD of 567, 720, 340, 294Calculator?
Out the numbers 567, 720, 340, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.