Online GCD Calculator is useful to find the GCD of 950, 322, 474, 138 quickly. Get the easiest ways to solve the greatest common divisor of 950, 322, 474, 138 i.e 2 in different methods as follows.
Given Input numbers are 950, 322, 474, 138
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
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 (950, 322, 474, 138) = 2.
Given numbers are 950, 322, 474, 138
The list of prime factors of all numbers are
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 322 are 2 x 7 x 23
Prime factors of 474 are 2 x 3 x 79
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 950, 322, 474, 138 is 2.
Given numbers are 950, 322, 474, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(950, 322) = 152950
GCD(950, 322) = ( 950 x 322 ) / 152950
= 950 / 322
= 950
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 950, 322, 474, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 950, 322, 474, 138
The greatest common divisor of numbers 950, 322, 474, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 950, 322, 474, 138 is 2.
1. What is the GCD of 950, 322, 474, 138?
GCD of given numbers 950, 322, 474, 138 is 2
2. How to calculate the greatest common divisor of 950, 322, 474, 138?
We can find the highest common divisor of 950, 322, 474, 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 950, 322, 474, 138 i.e 2.
3. How can I use the GCD of 950, 322, 474, 138Calculator?
Out the numbers 950, 322, 474, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.