Online GCD Calculator is useful to find the GCD of 426, 268, 692, 512 quickly. Get the easiest ways to solve the greatest common divisor of 426, 268, 692, 512 i.e 2 in different methods as follows.
Given Input numbers are 426, 268, 692, 512
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (426, 268, 692, 512) = 2.
Given numbers are 426, 268, 692, 512
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 268 are 2 x 2 x 67
Prime factors of 692 are 2 x 2 x 173
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 426, 268, 692, 512 is 2.
Given numbers are 426, 268, 692, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 268) = 57084
GCD(426, 268) = ( 426 x 268 ) / 57084
= 426 / 268
= 426
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
Step3:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
So, Greatest Common Divisor of 426, 268, 692, 512 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 268, 692, 512
The greatest common divisor of numbers 426, 268, 692, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 268, 692, 512 is 2.
1. What is the GCD of 426, 268, 692, 512?
GCD of given numbers 426, 268, 692, 512 is 2
2. How to calculate the greatest common divisor of 426, 268, 692, 512?
We can find the highest common divisor of 426, 268, 692, 512 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 426, 268, 692, 512 i.e 2.
3. How can I use the GCD of 426, 268, 692, 512Calculator?
Out the numbers 426, 268, 692, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.