Online GCD Calculator is useful to find the GCD of 399, 699, 987, 876 quickly. Get the easiest ways to solve the greatest common divisor of 399, 699, 987, 876 i.e 3 in different methods as follows.
Given Input numbers are 399, 699, 987, 876
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
GCD of numbers is the greatest common divisor
So, the GCD (399, 699, 987, 876) = 3.
Given numbers are 399, 699, 987, 876
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 699 are 3 x 233
Prime factors of 987 are 3 x 7 x 47
Prime factors of 876 are 2 x 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 399, 699, 987, 876 is 3.
Given numbers are 399, 699, 987, 876
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 699) = 92967
GCD(399, 699) = ( 399 x 699 ) / 92967
= 399 / 699
= 399
Step2:
LCM(3, 987) = 987
GCD(3, 987) = ( 3 x 987 ) / 987
= 3 / 987
= 3
Step3:
LCM(3, 876) = 876
GCD(3, 876) = ( 3 x 876 ) / 876
= 3 / 876
= 3
So, Greatest Common Divisor of 399, 699, 987, 876 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 699, 987, 876
The greatest common divisor of numbers 399, 699, 987, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 699, 987, 876 is 3.
1. What is the GCD of 399, 699, 987, 876?
GCD of given numbers 399, 699, 987, 876 is 3
2. How to calculate the greatest common divisor of 399, 699, 987, 876?
We can find the highest common divisor of 399, 699, 987, 876 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 399, 699, 987, 876 i.e 3.
3. How can I use the GCD of 399, 699, 987, 876Calculator?
Out the numbers 399, 699, 987, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.