Online GCD Calculator is useful to find the GCD of 386, 826, 764, 420 quickly. Get the easiest ways to solve the greatest common divisor of 386, 826, 764, 420 i.e 2 in different methods as follows.
Given Input numbers are 386, 826, 764, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (386, 826, 764, 420) = 2.
Given numbers are 386, 826, 764, 420
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 826 are 2 x 7 x 59
Prime factors of 764 are 2 x 2 x 191
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 386, 826, 764, 420 is 2.
Given numbers are 386, 826, 764, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 826) = 159418
GCD(386, 826) = ( 386 x 826 ) / 159418
= 386 / 826
= 386
Step2:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 386, 826, 764, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 826, 764, 420
The greatest common divisor of numbers 386, 826, 764, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 826, 764, 420 is 2.
1. What is the GCD of 386, 826, 764, 420?
GCD of given numbers 386, 826, 764, 420 is 2
2. How to calculate the greatest common divisor of 386, 826, 764, 420?
We can find the highest common divisor of 386, 826, 764, 420 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 386, 826, 764, 420 i.e 2.
3. How can I use the GCD of 386, 826, 764, 420Calculator?
Out the numbers 386, 826, 764, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.