Online GCD Calculator is useful to find the GCD of 534, 698, 434, 320 quickly. Get the easiest ways to solve the greatest common divisor of 534, 698, 434, 320 i.e 2 in different methods as follows.
Given Input numbers are 534, 698, 434, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (534, 698, 434, 320) = 2.
Given numbers are 534, 698, 434, 320
The list of prime factors of all numbers are
Prime factors of 534 are 2 x 3 x 89
Prime factors of 698 are 2 x 349
Prime factors of 434 are 2 x 7 x 31
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 534, 698, 434, 320 is 2.
Given numbers are 534, 698, 434, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(534, 698) = 186366
GCD(534, 698) = ( 534 x 698 ) / 186366
= 534 / 698
= 534
Step2:
LCM(2, 434) = 434
GCD(2, 434) = ( 2 x 434 ) / 434
= 2 / 434
= 2
Step3:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
So, Greatest Common Divisor of 534, 698, 434, 320 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 534, 698, 434, 320
The greatest common divisor of numbers 534, 698, 434, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 698, 434, 320 is 2.
1. What is the GCD of 534, 698, 434, 320?
GCD of given numbers 534, 698, 434, 320 is 2
2. How to calculate the greatest common divisor of 534, 698, 434, 320?
We can find the highest common divisor of 534, 698, 434, 320 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 534, 698, 434, 320 i.e 2.
3. How can I use the GCD of 534, 698, 434, 320Calculator?
Out the numbers 534, 698, 434, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.