Online GCD Calculator is useful to find the GCD of 832, 742, 130, 676 quickly. Get the easiest ways to solve the greatest common divisor of 832, 742, 130, 676 i.e 2 in different methods as follows.
Given Input numbers are 832, 742, 130, 676
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (832, 742, 130, 676) = 2.
Given numbers are 832, 742, 130, 676
The list of prime factors of all numbers are
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 130 are 2 x 5 x 13
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 832, 742, 130, 676 is 2.
Given numbers are 832, 742, 130, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(832, 742) = 308672
GCD(832, 742) = ( 832 x 742 ) / 308672
= 832 / 742
= 832
Step2:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 832, 742, 130, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 832, 742, 130, 676
The greatest common divisor of numbers 832, 742, 130, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 742, 130, 676 is 2.
1. What is the GCD of 832, 742, 130, 676?
GCD of given numbers 832, 742, 130, 676 is 2
2. How to calculate the greatest common divisor of 832, 742, 130, 676?
We can find the highest common divisor of 832, 742, 130, 676 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 832, 742, 130, 676 i.e 2.
3. How can I use the GCD of 832, 742, 130, 676Calculator?
Out the numbers 832, 742, 130, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.