Online GCD Calculator is useful to find the GCD of 715, 572, 299 quickly. Get the easiest ways to solve the greatest common divisor of 715, 572, 299 i.e 13 in different methods as follows.
Given Input numbers are 715, 572, 299
In the factoring method, we have to find the divisors of all numbers
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (715, 572, 299) = 13.
Given numbers are 715, 572, 299
The list of prime factors of all numbers are
Prime factors of 715 are 5 x 11 x 13
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 299 are 13 x 23
The highest common occurrence is 131
Therefore, GCD of 715, 572, 299 is 13.
Given numbers are 715, 572, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(715, 572) = 2860
GCD(715, 572) = ( 715 x 572 ) / 2860
= 715 / 572
= 715
Step2:
LCM(143, 299) = 3289
GCD(143, 299) = ( 143 x 299 ) / 3289
= 143 / 299
= 143
So, Greatest Common Divisor of 715, 572, 299 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 715, 572, 299
The greatest common divisor of numbers 715, 572, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 572, 299 is 13.
1. What is the GCD of 715, 572, 299?
GCD of given numbers 715, 572, 299 is 13
2. How to calculate the greatest common divisor of 715, 572, 299?
We can find the highest common divisor of 715, 572, 299 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 715, 572, 299 i.e 13.
3. How can I use the GCD of 715, 572, 299Calculator?
Out the numbers 715, 572, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.