Online GCD Calculator is useful to find the GCD of 854, 789, 742, 144 quickly. Get the easiest ways to solve the greatest common divisor of 854, 789, 742, 144 i.e 1 in different methods as follows.
Given Input numbers are 854, 789, 742, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (854, 789, 742, 144) = 1.
Given numbers are 854, 789, 742, 144
The list of prime factors of all numbers are
Prime factors of 854 are 2 x 7 x 61
Prime factors of 789 are 3 x 263
Prime factors of 742 are 2 x 7 x 53
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 854, 789, 742, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(854, 789) = 673806
GCD(854, 789) = ( 854 x 789 ) / 673806
= 854 / 789
= 854
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 854, 789, 742, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 854, 789, 742, 144
The greatest common divisor of numbers 854, 789, 742, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 789, 742, 144 is 1.
1. What is the GCD of 854, 789, 742, 144?
GCD of given numbers 854, 789, 742, 144 is 1
2. How to calculate the greatest common divisor of 854, 789, 742, 144?
We can find the highest common divisor of 854, 789, 742, 144 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 854, 789, 742, 144 i.e 1.
3. How can I use the GCD of 854, 789, 742, 144Calculator?
Out the numbers 854, 789, 742, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.