Online GCD Calculator is useful to find the GCD of 826, 122, 142, 132 quickly. Get the easiest ways to solve the greatest common divisor of 826, 122, 142, 132 i.e 2 in different methods as follows.
Given Input numbers are 826, 122, 142, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
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 (826, 122, 142, 132) = 2.
Given numbers are 826, 122, 142, 132
The list of prime factors of all numbers are
Prime factors of 826 are 2 x 7 x 59
Prime factors of 122 are 2 x 61
Prime factors of 142 are 2 x 71
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 826, 122, 142, 132 is 2.
Given numbers are 826, 122, 142, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(826, 122) = 50386
GCD(826, 122) = ( 826 x 122 ) / 50386
= 826 / 122
= 826
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 826, 122, 142, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 826, 122, 142, 132
The greatest common divisor of numbers 826, 122, 142, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 122, 142, 132 is 2.
1. What is the GCD of 826, 122, 142, 132?
GCD of given numbers 826, 122, 142, 132 is 2
2. How to calculate the greatest common divisor of 826, 122, 142, 132?
We can find the highest common divisor of 826, 122, 142, 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 826, 122, 142, 132 i.e 2.
3. How can I use the GCD of 826, 122, 142, 132Calculator?
Out the numbers 826, 122, 142, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.