Online GCD Calculator is useful to find the GCD of 452, 134, 698, 428 quickly. Get the easiest ways to solve the greatest common divisor of 452, 134, 698, 428 i.e 2 in different methods as follows.
Given Input numbers are 452, 134, 698, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (452, 134, 698, 428) = 2.
Given numbers are 452, 134, 698, 428
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 134 are 2 x 67
Prime factors of 698 are 2 x 349
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 452, 134, 698, 428 is 2.
Given numbers are 452, 134, 698, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 134) = 30284
GCD(452, 134) = ( 452 x 134 ) / 30284
= 452 / 134
= 452
Step2:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 452, 134, 698, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 134, 698, 428
The greatest common divisor of numbers 452, 134, 698, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 134, 698, 428 is 2.
1. What is the GCD of 452, 134, 698, 428?
GCD of given numbers 452, 134, 698, 428 is 2
2. How to calculate the greatest common divisor of 452, 134, 698, 428?
We can find the highest common divisor of 452, 134, 698, 428 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 452, 134, 698, 428 i.e 2.
3. How can I use the GCD of 452, 134, 698, 428Calculator?
Out the numbers 452, 134, 698, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.