Online GCD Calculator is useful to find the GCD of 658, 788, 830, 252 quickly. Get the easiest ways to solve the greatest common divisor of 658, 788, 830, 252 i.e 2 in different methods as follows.
Given Input numbers are 658, 788, 830, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (658, 788, 830, 252) = 2.
Given numbers are 658, 788, 830, 252
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 788 are 2 x 2 x 197
Prime factors of 830 are 2 x 5 x 83
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 658, 788, 830, 252 is 2.
Given numbers are 658, 788, 830, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 788) = 259252
GCD(658, 788) = ( 658 x 788 ) / 259252
= 658 / 788
= 658
Step2:
LCM(2, 830) = 830
GCD(2, 830) = ( 2 x 830 ) / 830
= 2 / 830
= 2
Step3:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
So, Greatest Common Divisor of 658, 788, 830, 252 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 788, 830, 252
The greatest common divisor of numbers 658, 788, 830, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 788, 830, 252 is 2.
1. What is the GCD of 658, 788, 830, 252?
GCD of given numbers 658, 788, 830, 252 is 2
2. How to calculate the greatest common divisor of 658, 788, 830, 252?
We can find the highest common divisor of 658, 788, 830, 252 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 658, 788, 830, 252 i.e 2.
3. How can I use the GCD of 658, 788, 830, 252Calculator?
Out the numbers 658, 788, 830, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.