Online GCD Calculator is useful to find the GCD of 898, 134, 848, 616 quickly. Get the easiest ways to solve the greatest common divisor of 898, 134, 848, 616 i.e 2 in different methods as follows.
Given Input numbers are 898, 134, 848, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
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
GCD of numbers is the greatest common divisor
So, the GCD (898, 134, 848, 616) = 2.
Given numbers are 898, 134, 848, 616
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 134 are 2 x 67
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 898, 134, 848, 616 is 2.
Given numbers are 898, 134, 848, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 134) = 60166
GCD(898, 134) = ( 898 x 134 ) / 60166
= 898 / 134
= 898
Step2:
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
= 2 / 848
= 2
Step3:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
So, Greatest Common Divisor of 898, 134, 848, 616 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 134, 848, 616
The greatest common divisor of numbers 898, 134, 848, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 134, 848, 616 is 2.
1. What is the GCD of 898, 134, 848, 616?
GCD of given numbers 898, 134, 848, 616 is 2
2. How to calculate the greatest common divisor of 898, 134, 848, 616?
We can find the highest common divisor of 898, 134, 848, 616 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 898, 134, 848, 616 i.e 2.
3. How can I use the GCD of 898, 134, 848, 616Calculator?
Out the numbers 898, 134, 848, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.