Online GCD Calculator is useful to find the GCD of 238, 798, 844, 140 quickly. Get the easiest ways to solve the greatest common divisor of 238, 798, 844, 140 i.e 2 in different methods as follows.
Given Input numbers are 238, 798, 844, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (238, 798, 844, 140) = 2.
Given numbers are 238, 798, 844, 140
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 844 are 2 x 2 x 211
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 238, 798, 844, 140 is 2.
Given numbers are 238, 798, 844, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 798) = 13566
GCD(238, 798) = ( 238 x 798 ) / 13566
= 238 / 798
= 238
Step2:
LCM(14, 844) = 5908
GCD(14, 844) = ( 14 x 844 ) / 5908
= 14 / 844
= 14
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 238, 798, 844, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 798, 844, 140
The greatest common divisor of numbers 238, 798, 844, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 798, 844, 140 is 2.
1. What is the GCD of 238, 798, 844, 140?
GCD of given numbers 238, 798, 844, 140 is 2
2. How to calculate the greatest common divisor of 238, 798, 844, 140?
We can find the highest common divisor of 238, 798, 844, 140 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 238, 798, 844, 140 i.e 2.
3. How can I use the GCD of 238, 798, 844, 140Calculator?
Out the numbers 238, 798, 844, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.