Online GCD Calculator is useful to find the GCD of 824, 688, 658, 234 quickly. Get the easiest ways to solve the greatest common divisor of 824, 688, 658, 234 i.e 2 in different methods as follows.
Given Input numbers are 824, 688, 658, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (824, 688, 658, 234) = 2.
Given numbers are 824, 688, 658, 234
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 658 are 2 x 7 x 47
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 824, 688, 658, 234 is 2.
Given numbers are 824, 688, 658, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 688) = 70864
GCD(824, 688) = ( 824 x 688 ) / 70864
= 824 / 688
= 824
Step2:
LCM(8, 658) = 2632
GCD(8, 658) = ( 8 x 658 ) / 2632
= 8 / 658
= 8
Step3:
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
= 2 / 234
= 2
So, Greatest Common Divisor of 824, 688, 658, 234 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 688, 658, 234
The greatest common divisor of numbers 824, 688, 658, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 688, 658, 234 is 2.
1. What is the GCD of 824, 688, 658, 234?
GCD of given numbers 824, 688, 658, 234 is 2
2. How to calculate the greatest common divisor of 824, 688, 658, 234?
We can find the highest common divisor of 824, 688, 658, 234 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 824, 688, 658, 234 i.e 2.
3. How can I use the GCD of 824, 688, 658, 234Calculator?
Out the numbers 824, 688, 658, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.