Online GCD Calculator is useful to find the GCD of 309, 702, 564, 562 quickly. Get the easiest ways to solve the greatest common divisor of 309, 702, 564, 562 i.e 1 in different methods as follows.
Given Input numbers are 309, 702, 564, 562
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
GCD of numbers is the greatest common divisor
So, the GCD (309, 702, 564, 562) = 1.
Given numbers are 309, 702, 564, 562
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 562 are 2 x 281
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 702, 564, 562
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 702) = 72306
GCD(309, 702) = ( 309 x 702 ) / 72306
= 309 / 702
= 309
Step2:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
Step3:
LCM(3, 562) = 1686
GCD(3, 562) = ( 3 x 562 ) / 1686
= 3 / 562
= 3
So, Greatest Common Divisor of 309, 702, 564, 562 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 702, 564, 562
The greatest common divisor of numbers 309, 702, 564, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 702, 564, 562 is 1.
1. What is the GCD of 309, 702, 564, 562?
GCD of given numbers 309, 702, 564, 562 is 1
2. How to calculate the greatest common divisor of 309, 702, 564, 562?
We can find the highest common divisor of 309, 702, 564, 562 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 309, 702, 564, 562 i.e 1.
3. How can I use the GCD of 309, 702, 564, 562Calculator?
Out the numbers 309, 702, 564, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.