Online GCD Calculator is useful to find the GCD of 326, 434, 702, 546 quickly. Get the easiest ways to solve the greatest common divisor of 326, 434, 702, 546 i.e 2 in different methods as follows.
Given Input numbers are 326, 434, 702, 546
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
GCD of numbers is the greatest common divisor
So, the GCD (326, 434, 702, 546) = 2.
Given numbers are 326, 434, 702, 546
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 434 are 2 x 7 x 31
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 546 are 2 x 3 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 326, 434, 702, 546 is 2.
Given numbers are 326, 434, 702, 546
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 434) = 70742
GCD(326, 434) = ( 326 x 434 ) / 70742
= 326 / 434
= 326
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 546) = 546
GCD(2, 546) = ( 2 x 546 ) / 546
= 2 / 546
= 2
So, Greatest Common Divisor of 326, 434, 702, 546 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 434, 702, 546
The greatest common divisor of numbers 326, 434, 702, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 434, 702, 546 is 2.
1. What is the GCD of 326, 434, 702, 546?
GCD of given numbers 326, 434, 702, 546 is 2
2. How to calculate the greatest common divisor of 326, 434, 702, 546?
We can find the highest common divisor of 326, 434, 702, 546 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 326, 434, 702, 546 i.e 2.
3. How can I use the GCD of 326, 434, 702, 546Calculator?
Out the numbers 326, 434, 702, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.