Online GCD Calculator is useful to find the GCD of 774, 460, 130, 942 quickly. Get the easiest ways to solve the greatest common divisor of 774, 460, 130, 942 i.e 2 in different methods as follows.
Given Input numbers are 774, 460, 130, 942
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 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (774, 460, 130, 942) = 2.
Given numbers are 774, 460, 130, 942
The list of prime factors of all numbers are
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21
Therefore, GCD of 774, 460, 130, 942 is 2.
Given numbers are 774, 460, 130, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(774, 460) = 178020
GCD(774, 460) = ( 774 x 460 ) / 178020
= 774 / 460
= 774
Step2:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
Step3:
LCM(2, 942) = 942
GCD(2, 942) = ( 2 x 942 ) / 942
= 2 / 942
= 2
So, Greatest Common Divisor of 774, 460, 130, 942 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 774, 460, 130, 942
The greatest common divisor of numbers 774, 460, 130, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 460, 130, 942 is 2.
1. What is the GCD of 774, 460, 130, 942?
GCD of given numbers 774, 460, 130, 942 is 2
2. How to calculate the greatest common divisor of 774, 460, 130, 942?
We can find the highest common divisor of 774, 460, 130, 942 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, 460, 130, 942 i.e 2.
3. How can I use the GCD of 774, 460, 130, 942Calculator?
Out the numbers 774, 460, 130, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.