Online GCD Calculator is useful to find the GCD of 852, 224, 194, 154 quickly. Get the easiest ways to solve the greatest common divisor of 852, 224, 194, 154 i.e 2 in different methods as follows.
Given Input numbers are 852, 224, 194, 154
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 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (852, 224, 194, 154) = 2.
Given numbers are 852, 224, 194, 154
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 194 are 2 x 97
Prime factors of 154 are 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 852, 224, 194, 154 is 2.
Given numbers are 852, 224, 194, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 224) = 47712
GCD(852, 224) = ( 852 x 224 ) / 47712
= 852 / 224
= 852
Step2:
LCM(4, 194) = 388
GCD(4, 194) = ( 4 x 194 ) / 388
= 4 / 194
= 4
Step3:
LCM(2, 154) = 154
GCD(2, 154) = ( 2 x 154 ) / 154
= 2 / 154
= 2
So, Greatest Common Divisor of 852, 224, 194, 154 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 852, 224, 194, 154
The greatest common divisor of numbers 852, 224, 194, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 224, 194, 154 is 2.
1. What is the GCD of 852, 224, 194, 154?
GCD of given numbers 852, 224, 194, 154 is 2
2. How to calculate the greatest common divisor of 852, 224, 194, 154?
We can find the highest common divisor of 852, 224, 194, 154 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, 224, 194, 154 i.e 2.
3. How can I use the GCD of 852, 224, 194, 154Calculator?
Out the numbers 852, 224, 194, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.