Online GCD Calculator is useful to find the GCD of 434, 692, 528, 498 quickly. Get the easiest ways to solve the greatest common divisor of 434, 692, 528, 498 i.e 2 in different methods as follows.
Given Input numbers are 434, 692, 528, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (434, 692, 528, 498) = 2.
Given numbers are 434, 692, 528, 498
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 692 are 2 x 2 x 173
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 21
Therefore, GCD of 434, 692, 528, 498 is 2.
Given numbers are 434, 692, 528, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 692) = 150164
GCD(434, 692) = ( 434 x 692 ) / 150164
= 434 / 692
= 434
Step2:
LCM(2, 528) = 528
GCD(2, 528) = ( 2 x 528 ) / 528
= 2 / 528
= 2
Step3:
LCM(2, 498) = 498
GCD(2, 498) = ( 2 x 498 ) / 498
= 2 / 498
= 2
So, Greatest Common Divisor of 434, 692, 528, 498 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 692, 528, 498
The greatest common divisor of numbers 434, 692, 528, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 692, 528, 498 is 2.
1. What is the GCD of 434, 692, 528, 498?
GCD of given numbers 434, 692, 528, 498 is 2
2. How to calculate the greatest common divisor of 434, 692, 528, 498?
We can find the highest common divisor of 434, 692, 528, 498 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 434, 692, 528, 498 i.e 2.
3. How can I use the GCD of 434, 692, 528, 498Calculator?
Out the numbers 434, 692, 528, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.