Online GCD Calculator is useful to find the GCD of 189, 767, 496, 742 quickly. Get the easiest ways to solve the greatest common divisor of 189, 767, 496, 742 i.e 1 in different methods as follows.
Given Input numbers are 189, 767, 496, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 (189, 767, 496, 742) = 1.
Given numbers are 189, 767, 496, 742
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 767 are 13 x 59
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
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 189, 767, 496, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 767) = 144963
GCD(189, 767) = ( 189 x 767 ) / 144963
= 189 / 767
= 189
Step2:
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
= 1 / 496
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 189, 767, 496, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 189, 767, 496, 742
The greatest common divisor of numbers 189, 767, 496, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 767, 496, 742 is 1.
1. What is the GCD of 189, 767, 496, 742?
GCD of given numbers 189, 767, 496, 742 is 1
2. How to calculate the greatest common divisor of 189, 767, 496, 742?
We can find the highest common divisor of 189, 767, 496, 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 189, 767, 496, 742 i.e 1.
3. How can I use the GCD of 189, 767, 496, 742Calculator?
Out the numbers 189, 767, 496, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.