Online GCD Calculator is useful to find the GCD of 128, 638, 900, 972 quickly. Get the easiest ways to solve the greatest common divisor of 128, 638, 900, 972 i.e 2 in different methods as follows.
Given Input numbers are 128, 638, 900, 972
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (128, 638, 900, 972) = 2.
Given numbers are 128, 638, 900, 972
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 638 are 2 x 11 x 29
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 128, 638, 900, 972 is 2.
Given numbers are 128, 638, 900, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 638) = 40832
GCD(128, 638) = ( 128 x 638 ) / 40832
= 128 / 638
= 128
Step2:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 128, 638, 900, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 638, 900, 972
The greatest common divisor of numbers 128, 638, 900, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 638, 900, 972 is 2.
1. What is the GCD of 128, 638, 900, 972?
GCD of given numbers 128, 638, 900, 972 is 2
2. How to calculate the greatest common divisor of 128, 638, 900, 972?
We can find the highest common divisor of 128, 638, 900, 972 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 128, 638, 900, 972 i.e 2.
3. How can I use the GCD of 128, 638, 900, 972Calculator?
Out the numbers 128, 638, 900, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.