Online GCD Calculator is useful to find the GCD of 492, 632, 400, 648 quickly. Get the easiest ways to solve the greatest common divisor of 492, 632, 400, 648 i.e 4 in different methods as follows.
Given Input numbers are 492, 632, 400, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
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
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (492, 632, 400, 648) = 4.
Given numbers are 492, 632, 400, 648
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 492, 632, 400, 648 is 4.
Given numbers are 492, 632, 400, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 632) = 77736
GCD(492, 632) = ( 492 x 632 ) / 77736
= 492 / 632
= 492
Step2:
LCM(4, 400) = 400
GCD(4, 400) = ( 4 x 400 ) / 400
= 4 / 400
= 4
Step3:
LCM(4, 648) = 648
GCD(4, 648) = ( 4 x 648 ) / 648
= 4 / 648
= 4
So, Greatest Common Divisor of 492, 632, 400, 648 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 632, 400, 648
The greatest common divisor of numbers 492, 632, 400, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 632, 400, 648 is 4.
1. What is the GCD of 492, 632, 400, 648?
GCD of given numbers 492, 632, 400, 648 is 4
2. How to calculate the greatest common divisor of 492, 632, 400, 648?
We can find the highest common divisor of 492, 632, 400, 648 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 492, 632, 400, 648 i.e 4.
3. How can I use the GCD of 492, 632, 400, 648Calculator?
Out the numbers 492, 632, 400, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.