Online GCD Calculator is useful to find the GCD of 520, 898, 910, 148 quickly. Get the easiest ways to solve the greatest common divisor of 520, 898, 910, 148 i.e 2 in different methods as follows.
Given Input numbers are 520, 898, 910, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (520, 898, 910, 148) = 2.
Given numbers are 520, 898, 910, 148
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 898 are 2 x 449
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 520, 898, 910, 148 is 2.
Given numbers are 520, 898, 910, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 898) = 233480
GCD(520, 898) = ( 520 x 898 ) / 233480
= 520 / 898
= 520
Step2:
LCM(2, 910) = 910
GCD(2, 910) = ( 2 x 910 ) / 910
= 2 / 910
= 2
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 520, 898, 910, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 520, 898, 910, 148
The greatest common divisor of numbers 520, 898, 910, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 898, 910, 148 is 2.
1. What is the GCD of 520, 898, 910, 148?
GCD of given numbers 520, 898, 910, 148 is 2
2. How to calculate the greatest common divisor of 520, 898, 910, 148?
We can find the highest common divisor of 520, 898, 910, 148 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 520, 898, 910, 148 i.e 2.
3. How can I use the GCD of 520, 898, 910, 148Calculator?
Out the numbers 520, 898, 910, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.