Online GCD Calculator is useful to find the GCD of 950, 874, 114 quickly. Get the easiest ways to solve the greatest common divisor of 950, 874, 114 i.e 38 in different methods as follows.
Given Input numbers are 950, 874, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (950, 874, 114) = 38.
Given numbers are 950, 874, 114
The list of prime factors of all numbers are
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 874 are 2 x 19 x 23
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 191 x 21
Therefore, GCD of 950, 874, 114 is 38.
Given numbers are 950, 874, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(950, 874) = 21850
GCD(950, 874) = ( 950 x 874 ) / 21850
= 950 / 874
= 950
Step2:
LCM(38, 114) = 114
GCD(38, 114) = ( 38 x 114 ) / 114
= 38 / 114
= 38
So, Greatest Common Divisor of 950, 874, 114 is 38
Here are some samples of GCD of Numbers calculations.
Given numbers are 950, 874, 114
The greatest common divisor of numbers 950, 874, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 950, 874, 114 is 38.
1. What is the GCD of 950, 874, 114?
GCD of given numbers 950, 874, 114 is 38
2. How to calculate the greatest common divisor of 950, 874, 114?
We can find the highest common divisor of 950, 874, 114 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 950, 874, 114 i.e 38.
3. How can I use the GCD of 950, 874, 114Calculator?
Out the numbers 950, 874, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.