Online GCD Calculator is useful to find the GCD of 852, 441, 742, 119 quickly. Get the easiest ways to solve the greatest common divisor of 852, 441, 742, 119 i.e 1 in different methods as follows.
Given Input numbers are 852, 441, 742, 119
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
GCD of numbers is the greatest common divisor
So, the GCD (852, 441, 742, 119) = 1.
Given numbers are 852, 441, 742, 119
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 742 are 2 x 7 x 53
Prime factors of 119 are 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 852, 441, 742, 119
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 441) = 125244
GCD(852, 441) = ( 852 x 441 ) / 125244
= 852 / 441
= 852
Step2:
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
= 3 / 742
= 3
Step3:
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
= 1 / 119
= 1
So, Greatest Common Divisor of 852, 441, 742, 119 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 441, 742, 119
The greatest common divisor of numbers 852, 441, 742, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 441, 742, 119 is 1.
1. What is the GCD of 852, 441, 742, 119?
GCD of given numbers 852, 441, 742, 119 is 1
2. How to calculate the greatest common divisor of 852, 441, 742, 119?
We can find the highest common divisor of 852, 441, 742, 119 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 852, 441, 742, 119 i.e 1.
3. How can I use the GCD of 852, 441, 742, 119Calculator?
Out the numbers 852, 441, 742, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.