Online GCD Calculator is useful to find the GCD of 994, 670, 120, 282 quickly. Get the easiest ways to solve the greatest common divisor of 994, 670, 120, 282 i.e 2 in different methods as follows.
Given Input numbers are 994, 670, 120, 282
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (994, 670, 120, 282) = 2.
Given numbers are 994, 670, 120, 282
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 670 are 2 x 5 x 67
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 994, 670, 120, 282 is 2.
Given numbers are 994, 670, 120, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 670) = 332990
GCD(994, 670) = ( 994 x 670 ) / 332990
= 994 / 670
= 994
Step2:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
Step3:
LCM(2, 282) = 282
GCD(2, 282) = ( 2 x 282 ) / 282
= 2 / 282
= 2
So, Greatest Common Divisor of 994, 670, 120, 282 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 994, 670, 120, 282
The greatest common divisor of numbers 994, 670, 120, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 670, 120, 282 is 2.
1. What is the GCD of 994, 670, 120, 282?
GCD of given numbers 994, 670, 120, 282 is 2
2. How to calculate the greatest common divisor of 994, 670, 120, 282?
We can find the highest common divisor of 994, 670, 120, 282 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 994, 670, 120, 282 i.e 2.
3. How can I use the GCD of 994, 670, 120, 282Calculator?
Out the numbers 994, 670, 120, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.