Online GCD Calculator is useful to find the GCD of 122, 740, 200 quickly. Get the easiest ways to solve the greatest common divisor of 122, 740, 200 i.e 2 in different methods as follows.
Given Input numbers are 122, 740, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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
GCD of numbers is the greatest common divisor
So, the GCD (122, 740, 200) = 2.
Given numbers are 122, 740, 200
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 122, 740, 200 is 2.
Given numbers are 122, 740, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 740) = 45140
GCD(122, 740) = ( 122 x 740 ) / 45140
= 122 / 740
= 122
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 122, 740, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 122, 740, 200
The greatest common divisor of numbers 122, 740, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 740, 200 is 2.
1. What is the GCD of 122, 740, 200?
GCD of given numbers 122, 740, 200 is 2
2. How to calculate the greatest common divisor of 122, 740, 200?
We can find the highest common divisor of 122, 740, 200 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 122, 740, 200 i.e 2.
3. How can I use the GCD of 122, 740, 200Calculator?
Out the numbers 122, 740, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.