Online GCD Calculator is useful to find the GCD of 326, 756, 875, 742 quickly. Get the easiest ways to solve the greatest common divisor of 326, 756, 875, 742 i.e 1 in different methods as follows.
Given Input numbers are 326, 756, 875, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
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 (326, 756, 875, 742) = 1.
Given numbers are 326, 756, 875, 742
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 875 are 5 x 5 x 5 x 7
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 326, 756, 875, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 756) = 123228
GCD(326, 756) = ( 326 x 756 ) / 123228
= 326 / 756
= 326
Step2:
LCM(2, 875) = 1750
GCD(2, 875) = ( 2 x 875 ) / 1750
= 2 / 875
= 2
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 326, 756, 875, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 756, 875, 742
The greatest common divisor of numbers 326, 756, 875, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 756, 875, 742 is 1.
1. What is the GCD of 326, 756, 875, 742?
GCD of given numbers 326, 756, 875, 742 is 1
2. How to calculate the greatest common divisor of 326, 756, 875, 742?
We can find the highest common divisor of 326, 756, 875, 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 326, 756, 875, 742 i.e 1.
3. How can I use the GCD of 326, 756, 875, 742Calculator?
Out the numbers 326, 756, 875, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.