Online GCD Calculator is useful to find the GCD of 982, 882, 724, 832 quickly. Get the easiest ways to solve the greatest common divisor of 982, 882, 724, 832 i.e 2 in different methods as follows.
Given Input numbers are 982, 882, 724, 832
In the factoring method, we have to find the divisors of all numbers
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
GCD of numbers is the greatest common divisor
So, the GCD (982, 882, 724, 832) = 2.
Given numbers are 982, 882, 724, 832
The list of prime factors of all numbers are
Prime factors of 982 are 2 x 491
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 724 are 2 x 2 x 181
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 982, 882, 724, 832 is 2.
Given numbers are 982, 882, 724, 832
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(982, 882) = 433062
GCD(982, 882) = ( 982 x 882 ) / 433062
= 982 / 882
= 982
Step2:
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
= 2 / 724
= 2
Step3:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
So, Greatest Common Divisor of 982, 882, 724, 832 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 982, 882, 724, 832
The greatest common divisor of numbers 982, 882, 724, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 882, 724, 832 is 2.
1. What is the GCD of 982, 882, 724, 832?
GCD of given numbers 982, 882, 724, 832 is 2
2. How to calculate the greatest common divisor of 982, 882, 724, 832?
We can find the highest common divisor of 982, 882, 724, 832 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 982, 882, 724, 832 i.e 2.
3. How can I use the GCD of 982, 882, 724, 832Calculator?
Out the numbers 982, 882, 724, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.