Online GCD Calculator is useful to find the GCD of 210, 772, 826, 138 quickly. Get the easiest ways to solve the greatest common divisor of 210, 772, 826, 138 i.e 2 in different methods as follows.
Given Input numbers are 210, 772, 826, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (210, 772, 826, 138) = 2.
Given numbers are 210, 772, 826, 138
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 772 are 2 x 2 x 193
Prime factors of 826 are 2 x 7 x 59
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 210, 772, 826, 138 is 2.
Given numbers are 210, 772, 826, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 772) = 81060
GCD(210, 772) = ( 210 x 772 ) / 81060
= 210 / 772
= 210
Step2:
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
= 2 / 826
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 210, 772, 826, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 772, 826, 138
The greatest common divisor of numbers 210, 772, 826, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 772, 826, 138 is 2.
1. What is the GCD of 210, 772, 826, 138?
GCD of given numbers 210, 772, 826, 138 is 2
2. How to calculate the greatest common divisor of 210, 772, 826, 138?
We can find the highest common divisor of 210, 772, 826, 138 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 210, 772, 826, 138 i.e 2.
3. How can I use the GCD of 210, 772, 826, 138Calculator?
Out the numbers 210, 772, 826, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.