Online GCD Calculator is useful to find the GCD of 434, 846, 182, 688 quickly. Get the easiest ways to solve the greatest common divisor of 434, 846, 182, 688 i.e 2 in different methods as follows.
Given Input numbers are 434, 846, 182, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (434, 846, 182, 688) = 2.
Given numbers are 434, 846, 182, 688
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 182 are 2 x 7 x 13
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 434, 846, 182, 688 is 2.
Given numbers are 434, 846, 182, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 846) = 183582
GCD(434, 846) = ( 434 x 846 ) / 183582
= 434 / 846
= 434
Step2:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
Step3:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
So, Greatest Common Divisor of 434, 846, 182, 688 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 846, 182, 688
The greatest common divisor of numbers 434, 846, 182, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 846, 182, 688 is 2.
1. What is the GCD of 434, 846, 182, 688?
GCD of given numbers 434, 846, 182, 688 is 2
2. How to calculate the greatest common divisor of 434, 846, 182, 688?
We can find the highest common divisor of 434, 846, 182, 688 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 434, 846, 182, 688 i.e 2.
3. How can I use the GCD of 434, 846, 182, 688Calculator?
Out the numbers 434, 846, 182, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.