Online GCD Calculator is useful to find the GCD of 862, 616, 160, 198 quickly. Get the easiest ways to solve the greatest common divisor of 862, 616, 160, 198 i.e 2 in different methods as follows.
Given Input numbers are 862, 616, 160, 198
In the factoring method, we have to find the divisors of all numbers
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD of numbers is the greatest common divisor
So, the GCD (862, 616, 160, 198) = 2.
Given numbers are 862, 616, 160, 198
The list of prime factors of all numbers are
Prime factors of 862 are 2 x 431
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 198 are 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 862, 616, 160, 198 is 2.
Given numbers are 862, 616, 160, 198
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(862, 616) = 265496
GCD(862, 616) = ( 862 x 616 ) / 265496
= 862 / 616
= 862
Step2:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
Step3:
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
= 2 / 198
= 2
So, Greatest Common Divisor of 862, 616, 160, 198 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 862, 616, 160, 198
The greatest common divisor of numbers 862, 616, 160, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 616, 160, 198 is 2.
1. What is the GCD of 862, 616, 160, 198?
GCD of given numbers 862, 616, 160, 198 is 2
2. How to calculate the greatest common divisor of 862, 616, 160, 198?
We can find the highest common divisor of 862, 616, 160, 198 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 862, 616, 160, 198 i.e 2.
3. How can I use the GCD of 862, 616, 160, 198Calculator?
Out the numbers 862, 616, 160, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.