Online GCD Calculator is useful to find the GCD of 480, 896, 202, 736 quickly. Get the easiest ways to solve the greatest common divisor of 480, 896, 202, 736 i.e 2 in different methods as follows.
Given Input numbers are 480, 896, 202, 736
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
GCD of numbers is the greatest common divisor
So, the GCD (480, 896, 202, 736) = 2.
Given numbers are 480, 896, 202, 736
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 202 are 2 x 101
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 480, 896, 202, 736 is 2.
Given numbers are 480, 896, 202, 736
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 896) = 13440
GCD(480, 896) = ( 480 x 896 ) / 13440
= 480 / 896
= 480
Step2:
LCM(32, 202) = 3232
GCD(32, 202) = ( 32 x 202 ) / 3232
= 32 / 202
= 32
Step3:
LCM(2, 736) = 736
GCD(2, 736) = ( 2 x 736 ) / 736
= 2 / 736
= 2
So, Greatest Common Divisor of 480, 896, 202, 736 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 896, 202, 736
The greatest common divisor of numbers 480, 896, 202, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 896, 202, 736 is 2.
1. What is the GCD of 480, 896, 202, 736?
GCD of given numbers 480, 896, 202, 736 is 2
2. How to calculate the greatest common divisor of 480, 896, 202, 736?
We can find the highest common divisor of 480, 896, 202, 736 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 480, 896, 202, 736 i.e 2.
3. How can I use the GCD of 480, 896, 202, 736Calculator?
Out the numbers 480, 896, 202, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.