Online GCD Calculator is useful to find the GCD of 882, 153, 750, 987 quickly. Get the easiest ways to solve the greatest common divisor of 882, 153, 750, 987 i.e 3 in different methods as follows.
Given Input numbers are 882, 153, 750, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 (882, 153, 750, 987) = 3.
Given numbers are 882, 153, 750, 987
The list of prime factors of all numbers are
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 153 are 3 x 3 x 17
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 31
Therefore, GCD of 882, 153, 750, 987 is 3.
Given numbers are 882, 153, 750, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(882, 153) = 14994
GCD(882, 153) = ( 882 x 153 ) / 14994
= 882 / 153
= 882
Step2:
LCM(9, 750) = 2250
GCD(9, 750) = ( 9 x 750 ) / 2250
= 9 / 750
= 9
Step3:
LCM(3, 987) = 987
GCD(3, 987) = ( 3 x 987 ) / 987
= 3 / 987
= 3
So, Greatest Common Divisor of 882, 153, 750, 987 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 882, 153, 750, 987
The greatest common divisor of numbers 882, 153, 750, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 153, 750, 987 is 3.
1. What is the GCD of 882, 153, 750, 987?
GCD of given numbers 882, 153, 750, 987 is 3
2. How to calculate the greatest common divisor of 882, 153, 750, 987?
We can find the highest common divisor of 882, 153, 750, 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 882, 153, 750, 987 i.e 3.
3. How can I use the GCD of 882, 153, 750, 987Calculator?
Out the numbers 882, 153, 750, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.