Online GCD Calculator is useful to find the GCD of 812, 688, 172, 118 quickly. Get the easiest ways to solve the greatest common divisor of 812, 688, 172, 118 i.e 2 in different methods as follows.
Given Input numbers are 812, 688, 172, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (812, 688, 172, 118) = 2.
Given numbers are 812, 688, 172, 118
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 172 are 2 x 2 x 43
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 812, 688, 172, 118 is 2.
Given numbers are 812, 688, 172, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 688) = 139664
GCD(812, 688) = ( 812 x 688 ) / 139664
= 812 / 688
= 812
Step2:
LCM(4, 172) = 172
GCD(4, 172) = ( 4 x 172 ) / 172
= 4 / 172
= 4
Step3:
LCM(4, 118) = 236
GCD(4, 118) = ( 4 x 118 ) / 236
= 4 / 118
= 4
So, Greatest Common Divisor of 812, 688, 172, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 812, 688, 172, 118
The greatest common divisor of numbers 812, 688, 172, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 688, 172, 118 is 2.
1. What is the GCD of 812, 688, 172, 118?
GCD of given numbers 812, 688, 172, 118 is 2
2. How to calculate the greatest common divisor of 812, 688, 172, 118?
We can find the highest common divisor of 812, 688, 172, 118 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 812, 688, 172, 118 i.e 2.
3. How can I use the GCD of 812, 688, 172, 118Calculator?
Out the numbers 812, 688, 172, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.