Online GCD Calculator is useful to find the GCD of 106, 940, 196, 358 quickly. Get the easiest ways to solve the greatest common divisor of 106, 940, 196, 358 i.e 2 in different methods as follows.
Given Input numbers are 106, 940, 196, 358
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (106, 940, 196, 358) = 2.
Given numbers are 106, 940, 196, 358
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 106, 940, 196, 358 is 2.
Given numbers are 106, 940, 196, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 940) = 49820
GCD(106, 940) = ( 106 x 940 ) / 49820
= 106 / 940
= 106
Step2:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
Step3:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
So, Greatest Common Divisor of 106, 940, 196, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 940, 196, 358
The greatest common divisor of numbers 106, 940, 196, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 940, 196, 358 is 2.
1. What is the GCD of 106, 940, 196, 358?
GCD of given numbers 106, 940, 196, 358 is 2
2. How to calculate the greatest common divisor of 106, 940, 196, 358?
We can find the highest common divisor of 106, 940, 196, 358 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 106, 940, 196, 358 i.e 2.
3. How can I use the GCD of 106, 940, 196, 358Calculator?
Out the numbers 106, 940, 196, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.