Online GCD Calculator is useful to find the GCD of 224, 150, 634, 580 quickly. Get the easiest ways to solve the greatest common divisor of 224, 150, 634, 580 i.e 2 in different methods as follows.
Given Input numbers are 224, 150, 634, 580
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
GCD of numbers is the greatest common divisor
So, the GCD (224, 150, 634, 580) = 2.
Given numbers are 224, 150, 634, 580
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 634 are 2 x 317
Prime factors of 580 are 2 x 2 x 5 x 29
The highest common occurrence is 21
Therefore, GCD of 224, 150, 634, 580 is 2.
Given numbers are 224, 150, 634, 580
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 150) = 16800
GCD(224, 150) = ( 224 x 150 ) / 16800
= 224 / 150
= 224
Step2:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
Step3:
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
= 2 / 580
= 2
So, Greatest Common Divisor of 224, 150, 634, 580 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 150, 634, 580
The greatest common divisor of numbers 224, 150, 634, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 150, 634, 580 is 2.
1. What is the GCD of 224, 150, 634, 580?
GCD of given numbers 224, 150, 634, 580 is 2
2. How to calculate the greatest common divisor of 224, 150, 634, 580?
We can find the highest common divisor of 224, 150, 634, 580 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 224, 150, 634, 580 i.e 2.
3. How can I use the GCD of 224, 150, 634, 580Calculator?
Out the numbers 224, 150, 634, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.