Online GCD Calculator is useful to find the GCD of 682, 436, 634, 132 quickly. Get the easiest ways to solve the greatest common divisor of 682, 436, 634, 132 i.e 2 in different methods as follows.
Given Input numbers are 682, 436, 634, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (682, 436, 634, 132) = 2.
Given numbers are 682, 436, 634, 132
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 436 are 2 x 2 x 109
Prime factors of 634 are 2 x 317
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 682, 436, 634, 132 is 2.
Given numbers are 682, 436, 634, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 436) = 148676
GCD(682, 436) = ( 682 x 436 ) / 148676
= 682 / 436
= 682
Step2:
LCM(2, 634) = 634
GCD(2, 634) = ( 2 x 634 ) / 634
= 2 / 634
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 682, 436, 634, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 436, 634, 132
The greatest common divisor of numbers 682, 436, 634, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 436, 634, 132 is 2.
1. What is the GCD of 682, 436, 634, 132?
GCD of given numbers 682, 436, 634, 132 is 2
2. How to calculate the greatest common divisor of 682, 436, 634, 132?
We can find the highest common divisor of 682, 436, 634, 132 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 682, 436, 634, 132 i.e 2.
3. How can I use the GCD of 682, 436, 634, 132Calculator?
Out the numbers 682, 436, 634, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.