Online GCD Calculator is useful to find the GCD of 942, 130, 828, 340 quickly. Get the easiest ways to solve the greatest common divisor of 942, 130, 828, 340 i.e 2 in different methods as follows.
Given Input numbers are 942, 130, 828, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (942, 130, 828, 340) = 2.
Given numbers are 942, 130, 828, 340
The list of prime factors of all numbers are
Prime factors of 942 are 2 x 3 x 157
Prime factors of 130 are 2 x 5 x 13
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 942, 130, 828, 340 is 2.
Given numbers are 942, 130, 828, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(942, 130) = 61230
GCD(942, 130) = ( 942 x 130 ) / 61230
= 942 / 130
= 942
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
Step3:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
So, Greatest Common Divisor of 942, 130, 828, 340 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 942, 130, 828, 340
The greatest common divisor of numbers 942, 130, 828, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 130, 828, 340 is 2.
1. What is the GCD of 942, 130, 828, 340?
GCD of given numbers 942, 130, 828, 340 is 2
2. How to calculate the greatest common divisor of 942, 130, 828, 340?
We can find the highest common divisor of 942, 130, 828, 340 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 942, 130, 828, 340 i.e 2.
3. How can I use the GCD of 942, 130, 828, 340Calculator?
Out the numbers 942, 130, 828, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.