Online GCD Calculator is useful to find the GCD of 196, 980, 868 quickly. Get the easiest ways to solve the greatest common divisor of 196, 980, 868 i.e 28 in different methods as follows.
Given Input numbers are 196, 980, 868
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
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 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (196, 980, 868) = 28.
Given numbers are 196, 980, 868
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 22 x 71
Therefore, GCD of 196, 980, 868 is 28.
Given numbers are 196, 980, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 980) = 980
GCD(196, 980) = ( 196 x 980 ) / 980
= 196 / 980
= 196
Step2:
LCM(196, 868) = 6076
GCD(196, 868) = ( 196 x 868 ) / 6076
= 196 / 868
= 196
So, Greatest Common Divisor of 196, 980, 868 is 28
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 980, 868
The greatest common divisor of numbers 196, 980, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 980, 868 is 28.
1. What is the GCD of 196, 980, 868?
GCD of given numbers 196, 980, 868 is 28
2. How to calculate the greatest common divisor of 196, 980, 868?
We can find the highest common divisor of 196, 980, 868 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 196, 980, 868 i.e 28.
3. How can I use the GCD of 196, 980, 868Calculator?
Out the numbers 196, 980, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.