Online GCD Calculator is useful to find the GCD of 987, 102, 558, 840 quickly. Get the easiest ways to solve the greatest common divisor of 987, 102, 558, 840 i.e 3 in different methods as follows.
Given Input numbers are 987, 102, 558, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (987, 102, 558, 840) = 3.
Given numbers are 987, 102, 558, 840
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 102 are 2 x 3 x 17
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 987, 102, 558, 840 is 3.
Given numbers are 987, 102, 558, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 102) = 33558
GCD(987, 102) = ( 987 x 102 ) / 33558
= 987 / 102
= 987
Step2:
LCM(3, 558) = 558
GCD(3, 558) = ( 3 x 558 ) / 558
= 3 / 558
= 3
Step3:
LCM(3, 840) = 840
GCD(3, 840) = ( 3 x 840 ) / 840
= 3 / 840
= 3
So, Greatest Common Divisor of 987, 102, 558, 840 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 102, 558, 840
The greatest common divisor of numbers 987, 102, 558, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 102, 558, 840 is 3.
1. What is the GCD of 987, 102, 558, 840?
GCD of given numbers 987, 102, 558, 840 is 3
2. How to calculate the greatest common divisor of 987, 102, 558, 840?
We can find the highest common divisor of 987, 102, 558, 840 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 987, 102, 558, 840 i.e 3.
3. How can I use the GCD of 987, 102, 558, 840Calculator?
Out the numbers 987, 102, 558, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.