Online GCD Calculator is useful to find the GCD of 496, 170, 464, 632 quickly. Get the easiest ways to solve the greatest common divisor of 496, 170, 464, 632 i.e 2 in different methods as follows.
Given Input numbers are 496, 170, 464, 632
In the factoring method, we have to find the divisors of all numbers
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
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 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
GCD of numbers is the greatest common divisor
So, the GCD (496, 170, 464, 632) = 2.
Given numbers are 496, 170, 464, 632
The list of prime factors of all numbers are
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 170 are 2 x 5 x 17
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 632 are 2 x 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 496, 170, 464, 632 is 2.
Given numbers are 496, 170, 464, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 170) = 42160
GCD(496, 170) = ( 496 x 170 ) / 42160
= 496 / 170
= 496
Step2:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
Step3:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
So, Greatest Common Divisor of 496, 170, 464, 632 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 170, 464, 632
The greatest common divisor of numbers 496, 170, 464, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 170, 464, 632 is 2.
1. What is the GCD of 496, 170, 464, 632?
GCD of given numbers 496, 170, 464, 632 is 2
2. How to calculate the greatest common divisor of 496, 170, 464, 632?
We can find the highest common divisor of 496, 170, 464, 632 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 496, 170, 464, 632 i.e 2.
3. How can I use the GCD of 496, 170, 464, 632Calculator?
Out the numbers 496, 170, 464, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.