Online GCD Calculator is useful to find the GCD of 868, 413, 273, 987 quickly. Get the easiest ways to solve the greatest common divisor of 868, 413, 273, 987 i.e 7 in different methods as follows.
Given Input numbers are 868, 413, 273, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (868, 413, 273, 987) = 7.
Given numbers are 868, 413, 273, 987
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 413 are 7 x 59
Prime factors of 273 are 3 x 7 x 13
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 71
Therefore, GCD of 868, 413, 273, 987 is 7.
Given numbers are 868, 413, 273, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 413) = 51212
GCD(868, 413) = ( 868 x 413 ) / 51212
= 868 / 413
= 868
Step2:
LCM(7, 273) = 273
GCD(7, 273) = ( 7 x 273 ) / 273
= 7 / 273
= 7
Step3:
LCM(7, 987) = 987
GCD(7, 987) = ( 7 x 987 ) / 987
= 7 / 987
= 7
So, Greatest Common Divisor of 868, 413, 273, 987 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 413, 273, 987
The greatest common divisor of numbers 868, 413, 273, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 413, 273, 987 is 7.
1. What is the GCD of 868, 413, 273, 987?
GCD of given numbers 868, 413, 273, 987 is 7
2. How to calculate the greatest common divisor of 868, 413, 273, 987?
We can find the highest common divisor of 868, 413, 273, 987 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 868, 413, 273, 987 i.e 7.
3. How can I use the GCD of 868, 413, 273, 987Calculator?
Out the numbers 868, 413, 273, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.