Online GCD Calculator is useful to find the GCD of 670, 242, 460, 998 quickly. Get the easiest ways to solve the greatest common divisor of 670, 242, 460, 998 i.e 2 in different methods as follows.
Given Input numbers are 670, 242, 460, 998
In the factoring method, we have to find the divisors of all numbers
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
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 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
GCD of numbers is the greatest common divisor
So, the GCD (670, 242, 460, 998) = 2.
Given numbers are 670, 242, 460, 998
The list of prime factors of all numbers are
Prime factors of 670 are 2 x 5 x 67
Prime factors of 242 are 2 x 11 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 998 are 2 x 499
The highest common occurrence is 21
Therefore, GCD of 670, 242, 460, 998 is 2.
Given numbers are 670, 242, 460, 998
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(670, 242) = 81070
GCD(670, 242) = ( 670 x 242 ) / 81070
= 670 / 242
= 670
Step2:
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
= 2 / 460
= 2
Step3:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
So, Greatest Common Divisor of 670, 242, 460, 998 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 670, 242, 460, 998
The greatest common divisor of numbers 670, 242, 460, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 242, 460, 998 is 2.
1. What is the GCD of 670, 242, 460, 998?
GCD of given numbers 670, 242, 460, 998 is 2
2. How to calculate the greatest common divisor of 670, 242, 460, 998?
We can find the highest common divisor of 670, 242, 460, 998 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 670, 242, 460, 998 i.e 2.
3. How can I use the GCD of 670, 242, 460, 998Calculator?
Out the numbers 670, 242, 460, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.