Online GCD Calculator is useful to find the GCD of 240, 262, 474, 258 quickly. Get the easiest ways to solve the greatest common divisor of 240, 262, 474, 258 i.e 2 in different methods as follows.
Given Input numbers are 240, 262, 474, 258
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
GCD of numbers is the greatest common divisor
So, the GCD (240, 262, 474, 258) = 2.
Given numbers are 240, 262, 474, 258
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 262 are 2 x 131
Prime factors of 474 are 2 x 3 x 79
Prime factors of 258 are 2 x 3 x 43
The highest common occurrence is 21
Therefore, GCD of 240, 262, 474, 258 is 2.
Given numbers are 240, 262, 474, 258
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 262) = 31440
GCD(240, 262) = ( 240 x 262 ) / 31440
= 240 / 262
= 240
Step2:
LCM(2, 474) = 474
GCD(2, 474) = ( 2 x 474 ) / 474
= 2 / 474
= 2
Step3:
LCM(2, 258) = 258
GCD(2, 258) = ( 2 x 258 ) / 258
= 2 / 258
= 2
So, Greatest Common Divisor of 240, 262, 474, 258 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 262, 474, 258
The greatest common divisor of numbers 240, 262, 474, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 262, 474, 258 is 2.
1. What is the GCD of 240, 262, 474, 258?
GCD of given numbers 240, 262, 474, 258 is 2
2. How to calculate the greatest common divisor of 240, 262, 474, 258?
We can find the highest common divisor of 240, 262, 474, 258 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 240, 262, 474, 258 i.e 2.
3. How can I use the GCD of 240, 262, 474, 258Calculator?
Out the numbers 240, 262, 474, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.