Online GCD Calculator is useful to find the GCD of 268, 160, 632 quickly. Get the easiest ways to solve the greatest common divisor of 268, 160, 632 i.e 4 in different methods as follows.
Given Input numbers are 268, 160, 632
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 (268, 160, 632) = 4.
Given numbers are 268, 160, 632
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 632 are 2 x 2 x 2 x 79
The highest common occurrence is 22
Therefore, GCD of 268, 160, 632 is 4.
Given numbers are 268, 160, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 160) = 10720
GCD(268, 160) = ( 268 x 160 ) / 10720
= 268 / 160
= 268
Step2:
LCM(4, 632) = 632
GCD(4, 632) = ( 4 x 632 ) / 632
= 4 / 632
= 4
So, Greatest Common Divisor of 268, 160, 632 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 160, 632
The greatest common divisor of numbers 268, 160, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 160, 632 is 4.
1. What is the GCD of 268, 160, 632?
GCD of given numbers 268, 160, 632 is 4
2. How to calculate the greatest common divisor of 268, 160, 632?
We can find the highest common divisor of 268, 160, 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 268, 160, 632 i.e 4.
3. How can I use the GCD of 268, 160, 632Calculator?
Out the numbers 268, 160, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.