Online GCD Calculator is useful to find the GCD of 100, 648, 248, 878 quickly. Get the easiest ways to solve the greatest common divisor of 100, 648, 248, 878 i.e 2 in different methods as follows.
Given Input numbers are 100, 648, 248, 878
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
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
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
GCD of numbers is the greatest common divisor
So, the GCD (100, 648, 248, 878) = 2.
Given numbers are 100, 648, 248, 878
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 878 are 2 x 439
The highest common occurrence is 21
Therefore, GCD of 100, 648, 248, 878 is 2.
Given numbers are 100, 648, 248, 878
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 648) = 16200
GCD(100, 648) = ( 100 x 648 ) / 16200
= 100 / 648
= 100
Step2:
LCM(4, 248) = 248
GCD(4, 248) = ( 4 x 248 ) / 248
= 4 / 248
= 4
Step3:
LCM(4, 878) = 1756
GCD(4, 878) = ( 4 x 878 ) / 1756
= 4 / 878
= 4
So, Greatest Common Divisor of 100, 648, 248, 878 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 648, 248, 878
The greatest common divisor of numbers 100, 648, 248, 878 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 648, 248, 878 is 2.
1. What is the GCD of 100, 648, 248, 878?
GCD of given numbers 100, 648, 248, 878 is 2
2. How to calculate the greatest common divisor of 100, 648, 248, 878?
We can find the highest common divisor of 100, 648, 248, 878 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 100, 648, 248, 878 i.e 2.
3. How can I use the GCD of 100, 648, 248, 878Calculator?
Out the numbers 100, 648, 248, 878 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.