Online GCD Calculator is useful to find the GCD of 154, 370, 200, 938 quickly. Get the easiest ways to solve the greatest common divisor of 154, 370, 200, 938 i.e 2 in different methods as follows.
Given Input numbers are 154, 370, 200, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (154, 370, 200, 938) = 2.
Given numbers are 154, 370, 200, 938
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 370 are 2 x 5 x 37
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 154, 370, 200, 938 is 2.
Given numbers are 154, 370, 200, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 370) = 28490
GCD(154, 370) = ( 154 x 370 ) / 28490
= 154 / 370
= 154
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
So, Greatest Common Divisor of 154, 370, 200, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 154, 370, 200, 938
The greatest common divisor of numbers 154, 370, 200, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 370, 200, 938 is 2.
1. What is the GCD of 154, 370, 200, 938?
GCD of given numbers 154, 370, 200, 938 is 2
2. How to calculate the greatest common divisor of 154, 370, 200, 938?
We can find the highest common divisor of 154, 370, 200, 938 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 154, 370, 200, 938 i.e 2.
3. How can I use the GCD of 154, 370, 200, 938Calculator?
Out the numbers 154, 370, 200, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.