Online GCD Calculator is useful to find the GCD of 980, 866, 340, 490 quickly. Get the easiest ways to solve the greatest common divisor of 980, 866, 340, 490 i.e 2 in different methods as follows.
Given Input numbers are 980, 866, 340, 490
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 866 :
The positive integer divisors of 866 that completely divides 866 are.
1, 2, 433, 866
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 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (980, 866, 340, 490) = 2.
Given numbers are 980, 866, 340, 490
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 866 are 2 x 433
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 980, 866, 340, 490 is 2.
Given numbers are 980, 866, 340, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 866) = 424340
GCD(980, 866) = ( 980 x 866 ) / 424340
= 980 / 866
= 980
Step2:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 980, 866, 340, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 866, 340, 490
The greatest common divisor of numbers 980, 866, 340, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 866, 340, 490 is 2.
1. What is the GCD of 980, 866, 340, 490?
GCD of given numbers 980, 866, 340, 490 is 2
2. How to calculate the greatest common divisor of 980, 866, 340, 490?
We can find the highest common divisor of 980, 866, 340, 490 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, 866, 340, 490 i.e 2.
3. How can I use the GCD of 980, 866, 340, 490Calculator?
Out the numbers 980, 866, 340, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.