Online GCD Calculator is useful to find the GCD of 498, 464, 740 quickly. Get the easiest ways to solve the greatest common divisor of 498, 464, 740 i.e 2 in different methods as follows.
Given Input numbers are 498, 464, 740
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (498, 464, 740) = 2.
Given numbers are 498, 464, 740
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 21
Therefore, GCD of 498, 464, 740 is 2.
Given numbers are 498, 464, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 464) = 115536
GCD(498, 464) = ( 498 x 464 ) / 115536
= 498 / 464
= 498
Step2:
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
= 2 / 740
= 2
So, Greatest Common Divisor of 498, 464, 740 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 464, 740
The greatest common divisor of numbers 498, 464, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 464, 740 is 2.
1. What is the GCD of 498, 464, 740?
GCD of given numbers 498, 464, 740 is 2
2. How to calculate the greatest common divisor of 498, 464, 740?
We can find the highest common divisor of 498, 464, 740 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 498, 464, 740 i.e 2.
3. How can I use the GCD of 498, 464, 740Calculator?
Out the numbers 498, 464, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.