Online GCD Calculator is useful to find the GCD of 795, 120, 160, 742 quickly. Get the easiest ways to solve the greatest common divisor of 795, 120, 160, 742 i.e 1 in different methods as follows.
Given Input numbers are 795, 120, 160, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 (795, 120, 160, 742) = 1.
Given numbers are 795, 120, 160, 742
The list of prime factors of all numbers are
Prime factors of 795 are 3 x 5 x 53
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 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 795, 120, 160, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(795, 120) = 6360
GCD(795, 120) = ( 795 x 120 ) / 6360
= 795 / 120
= 795
Step2:
LCM(15, 160) = 480
GCD(15, 160) = ( 15 x 160 ) / 480
= 15 / 160
= 15
Step3:
LCM(5, 742) = 3710
GCD(5, 742) = ( 5 x 742 ) / 3710
= 5 / 742
= 5
So, Greatest Common Divisor of 795, 120, 160, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 795, 120, 160, 742
The greatest common divisor of numbers 795, 120, 160, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 120, 160, 742 is 1.
1. What is the GCD of 795, 120, 160, 742?
GCD of given numbers 795, 120, 160, 742 is 1
2. How to calculate the greatest common divisor of 795, 120, 160, 742?
We can find the highest common divisor of 795, 120, 160, 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 795, 120, 160, 742 i.e 1.
3. How can I use the GCD of 795, 120, 160, 742Calculator?
Out the numbers 795, 120, 160, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.