Online GCD Calculator is useful to find the GCD of 492, 560, 225, 785 quickly. Get the easiest ways to solve the greatest common divisor of 492, 560, 225, 785 i.e 1 in different methods as follows.
Given Input numbers are 492, 560, 225, 785
In the factoring method, we have to find the divisors of all numbers
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 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 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 785 :
The positive integer divisors of 785 that completely divides 785 are.
1, 5, 157, 785
GCD of numbers is the greatest common divisor
So, the GCD (492, 560, 225, 785) = 1.
Given numbers are 492, 560, 225, 785
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 785 are 5 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 492, 560, 225, 785
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 560) = 68880
GCD(492, 560) = ( 492 x 560 ) / 68880
= 492 / 560
= 492
Step2:
LCM(4, 225) = 900
GCD(4, 225) = ( 4 x 225 ) / 900
= 4 / 225
= 4
Step3:
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
= 1 / 785
= 1
So, Greatest Common Divisor of 492, 560, 225, 785 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 560, 225, 785
The greatest common divisor of numbers 492, 560, 225, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 560, 225, 785 is 1.
1. What is the GCD of 492, 560, 225, 785?
GCD of given numbers 492, 560, 225, 785 is 1
2. How to calculate the greatest common divisor of 492, 560, 225, 785?
We can find the highest common divisor of 492, 560, 225, 785 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 492, 560, 225, 785 i.e 1.
3. How can I use the GCD of 492, 560, 225, 785Calculator?
Out the numbers 492, 560, 225, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.