Online GCD Calculator is useful to find the GCD of 265, 492, 724 quickly. Get the easiest ways to solve the greatest common divisor of 265, 492, 724 i.e 1 in different methods as follows.
Given Input numbers are 265, 492, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (265, 492, 724) = 1.
Given numbers are 265, 492, 724
The list of prime factors of all numbers are
Prime factors of 265 are 5 x 53
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 265, 492, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(265, 492) = 130380
GCD(265, 492) = ( 265 x 492 ) / 130380
= 265 / 492
= 265
Step2:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 265, 492, 724 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 265, 492, 724
The greatest common divisor of numbers 265, 492, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 265, 492, 724 is 1.
1. What is the GCD of 265, 492, 724?
GCD of given numbers 265, 492, 724 is 1
2. How to calculate the greatest common divisor of 265, 492, 724?
We can find the highest common divisor of 265, 492, 724 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 265, 492, 724 i.e 1.
3. How can I use the GCD of 265, 492, 724Calculator?
Out the numbers 265, 492, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.