Online GCD Calculator is useful to find the GCD of 220, 375, 828, 648 quickly. Get the easiest ways to solve the greatest common divisor of 220, 375, 828, 648 i.e 1 in different methods as follows.
Given Input numbers are 220, 375, 828, 648
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (220, 375, 828, 648) = 1.
Given numbers are 220, 375, 828, 648
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 220, 375, 828, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 375) = 16500
GCD(220, 375) = ( 220 x 375 ) / 16500
= 220 / 375
= 220
Step2:
LCM(5, 828) = 4140
GCD(5, 828) = ( 5 x 828 ) / 4140
= 5 / 828
= 5
Step3:
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
= 1 / 648
= 1
So, Greatest Common Divisor of 220, 375, 828, 648 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 375, 828, 648
The greatest common divisor of numbers 220, 375, 828, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 375, 828, 648 is 1.
1. What is the GCD of 220, 375, 828, 648?
GCD of given numbers 220, 375, 828, 648 is 1
2. How to calculate the greatest common divisor of 220, 375, 828, 648?
We can find the highest common divisor of 220, 375, 828, 648 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 220, 375, 828, 648 i.e 1.
3. How can I use the GCD of 220, 375, 828, 648Calculator?
Out the numbers 220, 375, 828, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.