Online GCD Calculator is useful to find the GCD of 249, 675, 742 quickly. Get the easiest ways to solve the greatest common divisor of 249, 675, 742 i.e 1 in different methods as follows.
Given Input numbers are 249, 675, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (249, 675, 742) = 1.
Given numbers are 249, 675, 742
The list of prime factors of all numbers are
Prime factors of 249 are 3 x 83
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 249, 675, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(249, 675) = 56025
GCD(249, 675) = ( 249 x 675 ) / 56025
= 249 / 675
= 249
Step2:
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
= 3 / 742
= 3
So, Greatest Common Divisor of 249, 675, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 249, 675, 742
The greatest common divisor of numbers 249, 675, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 675, 742 is 1.
1. What is the GCD of 249, 675, 742?
GCD of given numbers 249, 675, 742 is 1
2. How to calculate the greatest common divisor of 249, 675, 742?
We can find the highest common divisor of 249, 675, 742 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 249, 675, 742 i.e 1.
3. How can I use the GCD of 249, 675, 742Calculator?
Out the numbers 249, 675, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.