Online GCD Calculator is useful to find the GCD of 482, 698, 678, 340 quickly. Get the easiest ways to solve the greatest common divisor of 482, 698, 678, 340 i.e 2 in different methods as follows.
Given Input numbers are 482, 698, 678, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
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 (482, 698, 678, 340) = 2.
Given numbers are 482, 698, 678, 340
The list of prime factors of all numbers are
Prime factors of 482 are 2 x 241
Prime factors of 698 are 2 x 349
Prime factors of 678 are 2 x 3 x 113
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 482, 698, 678, 340 is 2.
Given numbers are 482, 698, 678, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(482, 698) = 168218
GCD(482, 698) = ( 482 x 698 ) / 168218
= 482 / 698
= 482
Step2:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
Step3:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
So, Greatest Common Divisor of 482, 698, 678, 340 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 482, 698, 678, 340
The greatest common divisor of numbers 482, 698, 678, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 698, 678, 340 is 2.
1. What is the GCD of 482, 698, 678, 340?
GCD of given numbers 482, 698, 678, 340 is 2
2. How to calculate the greatest common divisor of 482, 698, 678, 340?
We can find the highest common divisor of 482, 698, 678, 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 482, 698, 678, 340 i.e 2.
3. How can I use the GCD of 482, 698, 678, 340Calculator?
Out the numbers 482, 698, 678, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.