Online GCD Calculator is useful to find the GCD of 980, 686, 340, 818 quickly. Get the easiest ways to solve the greatest common divisor of 980, 686, 340, 818 i.e 2 in different methods as follows.
Given Input numbers are 980, 686, 340, 818
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
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
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
GCD of numbers is the greatest common divisor
So, the GCD (980, 686, 340, 818) = 2.
Given numbers are 980, 686, 340, 818
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 818 are 2 x 409
The highest common occurrence is 21
Therefore, GCD of 980, 686, 340, 818 is 2.
Given numbers are 980, 686, 340, 818
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 686) = 6860
GCD(980, 686) = ( 980 x 686 ) / 6860
= 980 / 686
= 980
Step2:
LCM(98, 340) = 16660
GCD(98, 340) = ( 98 x 340 ) / 16660
= 98 / 340
= 98
Step3:
LCM(2, 818) = 818
GCD(2, 818) = ( 2 x 818 ) / 818
= 2 / 818
= 2
So, Greatest Common Divisor of 980, 686, 340, 818 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 686, 340, 818
The greatest common divisor of numbers 980, 686, 340, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 686, 340, 818 is 2.
1. What is the GCD of 980, 686, 340, 818?
GCD of given numbers 980, 686, 340, 818 is 2
2. How to calculate the greatest common divisor of 980, 686, 340, 818?
We can find the highest common divisor of 980, 686, 340, 818 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 980, 686, 340, 818 i.e 2.
3. How can I use the GCD of 980, 686, 340, 818Calculator?
Out the numbers 980, 686, 340, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.