Online GCD Calculator is useful to find the GCD of 774, 118, 370, 196 quickly. Get the easiest ways to solve the greatest common divisor of 774, 118, 370, 196 i.e 2 in different methods as follows.
Given Input numbers are 774, 118, 370, 196
In the factoring method, we have to find the divisors of all numbers
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (774, 118, 370, 196) = 2.
Given numbers are 774, 118, 370, 196
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 118 are 2 x 59
Prime factors of 370 are 2 x 5 x 37
Prime factors of 196 are 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 774, 118, 370, 196 is 2.
Given numbers are 774, 118, 370, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 118) = 45666
GCD(774, 118) = ( 774 x 118 ) / 45666
= 774 / 118
= 774
Step2:
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
= 2 / 370
= 2
Step3:
LCM(2, 196) = 196
GCD(2, 196) = ( 2 x 196 ) / 196
= 2 / 196
= 2
So, Greatest Common Divisor of 774, 118, 370, 196 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 118, 370, 196
The greatest common divisor of numbers 774, 118, 370, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 118, 370, 196 is 2.
1. What is the GCD of 774, 118, 370, 196?
GCD of given numbers 774, 118, 370, 196 is 2
2. How to calculate the greatest common divisor of 774, 118, 370, 196?
We can find the highest common divisor of 774, 118, 370, 196 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 774, 118, 370, 196 i.e 2.
3. How can I use the GCD of 774, 118, 370, 196Calculator?
Out the numbers 774, 118, 370, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.