Online GCD Calculator is useful to find the GCD of 560, 693, 315, 936 quickly. Get the easiest ways to solve the greatest common divisor of 560, 693, 315, 936 i.e 1 in different methods as follows.
Given Input numbers are 560, 693, 315, 936
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
GCD of numbers is the greatest common divisor
So, the GCD (560, 693, 315, 936) = 1.
Given numbers are 560, 693, 315, 936
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 693, 315, 936
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 693) = 55440
GCD(560, 693) = ( 560 x 693 ) / 55440
= 560 / 693
= 560
Step2:
LCM(7, 315) = 315
GCD(7, 315) = ( 7 x 315 ) / 315
= 7 / 315
= 7
Step3:
LCM(7, 936) = 6552
GCD(7, 936) = ( 7 x 936 ) / 6552
= 7 / 936
= 7
So, Greatest Common Divisor of 560, 693, 315, 936 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 693, 315, 936
The greatest common divisor of numbers 560, 693, 315, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 693, 315, 936 is 1.
1. What is the GCD of 560, 693, 315, 936?
GCD of given numbers 560, 693, 315, 936 is 1
2. How to calculate the greatest common divisor of 560, 693, 315, 936?
We can find the highest common divisor of 560, 693, 315, 936 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 560, 693, 315, 936 i.e 1.
3. How can I use the GCD of 560, 693, 315, 936Calculator?
Out the numbers 560, 693, 315, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.