Online GCD Calculator is useful to find the GCD of 496, 862, 348, 400 quickly. Get the easiest ways to solve the greatest common divisor of 496, 862, 348, 400 i.e 2 in different methods as follows.
Given Input numbers are 496, 862, 348, 400
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 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (496, 862, 348, 400) = 2.
Given numbers are 496, 862, 348, 400
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 862 are 2 x 431
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 496, 862, 348, 400 is 2.
Given numbers are 496, 862, 348, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(496, 862) = 213776
GCD(496, 862) = ( 496 x 862 ) / 213776
= 496 / 862
= 496
Step2:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 496, 862, 348, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 496, 862, 348, 400
The greatest common divisor of numbers 496, 862, 348, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 862, 348, 400 is 2.
1. What is the GCD of 496, 862, 348, 400?
GCD of given numbers 496, 862, 348, 400 is 2
2. How to calculate the greatest common divisor of 496, 862, 348, 400?
We can find the highest common divisor of 496, 862, 348, 400 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, 862, 348, 400 i.e 2.
3. How can I use the GCD of 496, 862, 348, 400Calculator?
Out the numbers 496, 862, 348, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.