Online GCD Calculator is useful to find the GCD of 844, 674, 456, 138 quickly. Get the easiest ways to solve the greatest common divisor of 844, 674, 456, 138 i.e 2 in different methods as follows.
Given Input numbers are 844, 674, 456, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (844, 674, 456, 138) = 2.
Given numbers are 844, 674, 456, 138
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 674 are 2 x 337
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 844, 674, 456, 138 is 2.
Given numbers are 844, 674, 456, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 674) = 284428
GCD(844, 674) = ( 844 x 674 ) / 284428
= 844 / 674
= 844
Step2:
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
= 2 / 456
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 844, 674, 456, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 674, 456, 138
The greatest common divisor of numbers 844, 674, 456, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 674, 456, 138 is 2.
1. What is the GCD of 844, 674, 456, 138?
GCD of given numbers 844, 674, 456, 138 is 2
2. How to calculate the greatest common divisor of 844, 674, 456, 138?
We can find the highest common divisor of 844, 674, 456, 138 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 844, 674, 456, 138 i.e 2.
3. How can I use the GCD of 844, 674, 456, 138Calculator?
Out the numbers 844, 674, 456, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.