Online GCD Calculator is useful to find the GCD of 478, 148, 900, 634 quickly. Get the easiest ways to solve the greatest common divisor of 478, 148, 900, 634 i.e 2 in different methods as follows.
Given Input numbers are 478, 148, 900, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (478, 148, 900, 634) = 2.
Given numbers are 478, 148, 900, 634
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 148 are 2 x 2 x 37
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 478, 148, 900, 634 is 2.
Given numbers are 478, 148, 900, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 148) = 35372
GCD(478, 148) = ( 478 x 148 ) / 35372
= 478 / 148
= 478
Step2:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
Step3:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
So, Greatest Common Divisor of 478, 148, 900, 634 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 148, 900, 634
The greatest common divisor of numbers 478, 148, 900, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 148, 900, 634 is 2.
1. What is the GCD of 478, 148, 900, 634?
GCD of given numbers 478, 148, 900, 634 is 2
2. How to calculate the greatest common divisor of 478, 148, 900, 634?
We can find the highest common divisor of 478, 148, 900, 634 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 478, 148, 900, 634 i.e 2.
3. How can I use the GCD of 478, 148, 900, 634Calculator?
Out the numbers 478, 148, 900, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.