Online GCD Calculator is useful to find the GCD of 118, 210, 544, 828 quickly. Get the easiest ways to solve the greatest common divisor of 118, 210, 544, 828 i.e 2 in different methods as follows.
Given Input numbers are 118, 210, 544, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
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
GCD of numbers is the greatest common divisor
So, the GCD (118, 210, 544, 828) = 2.
Given numbers are 118, 210, 544, 828
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 118, 210, 544, 828 is 2.
Given numbers are 118, 210, 544, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 210) = 12390
GCD(118, 210) = ( 118 x 210 ) / 12390
= 118 / 210
= 118
Step2:
LCM(2, 544) = 544
GCD(2, 544) = ( 2 x 544 ) / 544
= 2 / 544
= 2
Step3:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 118, 210, 544, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 210, 544, 828
The greatest common divisor of numbers 118, 210, 544, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 210, 544, 828 is 2.
1. What is the GCD of 118, 210, 544, 828?
GCD of given numbers 118, 210, 544, 828 is 2
2. How to calculate the greatest common divisor of 118, 210, 544, 828?
We can find the highest common divisor of 118, 210, 544, 828 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 118, 210, 544, 828 i.e 2.
3. How can I use the GCD of 118, 210, 544, 828Calculator?
Out the numbers 118, 210, 544, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.