Online GCD Calculator is useful to find the GCD of 148, 248, 698, 522 quickly. Get the easiest ways to solve the greatest common divisor of 148, 248, 698, 522 i.e 2 in different methods as follows.
Given Input numbers are 148, 248, 698, 522
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
GCD of numbers is the greatest common divisor
So, the GCD (148, 248, 698, 522) = 2.
Given numbers are 148, 248, 698, 522
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 698 are 2 x 349
Prime factors of 522 are 2 x 3 x 3 x 29
The highest common occurrence is 21
Therefore, GCD of 148, 248, 698, 522 is 2.
Given numbers are 148, 248, 698, 522
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 248) = 9176
GCD(148, 248) = ( 148 x 248 ) / 9176
= 148 / 248
= 148
Step2:
LCM(4, 698) = 1396
GCD(4, 698) = ( 4 x 698 ) / 1396
= 4 / 698
= 4
Step3:
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
= 2 / 522
= 2
So, Greatest Common Divisor of 148, 248, 698, 522 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 248, 698, 522
The greatest common divisor of numbers 148, 248, 698, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 248, 698, 522 is 2.
1. What is the GCD of 148, 248, 698, 522?
GCD of given numbers 148, 248, 698, 522 is 2
2. How to calculate the greatest common divisor of 148, 248, 698, 522?
We can find the highest common divisor of 148, 248, 698, 522 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 148, 248, 698, 522 i.e 2.
3. How can I use the GCD of 148, 248, 698, 522Calculator?
Out the numbers 148, 248, 698, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.