Online GCD Calculator is useful to find the GCD of 560, 658, 364 quickly. Get the easiest ways to solve the greatest common divisor of 560, 658, 364 i.e 14 in different methods as follows.
Given Input numbers are 560, 658, 364
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 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (560, 658, 364) = 14.
Given numbers are 560, 658, 364
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 658 are 2 x 7 x 47
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 21 x 71
Therefore, GCD of 560, 658, 364 is 14.
Given numbers are 560, 658, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 658) = 26320
GCD(560, 658) = ( 560 x 658 ) / 26320
= 560 / 658
= 560
Step2:
LCM(14, 364) = 364
GCD(14, 364) = ( 14 x 364 ) / 364
= 14 / 364
= 14
So, Greatest Common Divisor of 560, 658, 364 is 14
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 658, 364
The greatest common divisor of numbers 560, 658, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 658, 364 is 14.
1. What is the GCD of 560, 658, 364?
GCD of given numbers 560, 658, 364 is 14
2. How to calculate the greatest common divisor of 560, 658, 364?
We can find the highest common divisor of 560, 658, 364 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, 658, 364 i.e 14.
3. How can I use the GCD of 560, 658, 364Calculator?
Out the numbers 560, 658, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.