Online GCD Calculator is useful to find the GCD of 428, 202, 374, 536 quickly. Get the easiest ways to solve the greatest common divisor of 428, 202, 374, 536 i.e 2 in different methods as follows.
Given Input numbers are 428, 202, 374, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (428, 202, 374, 536) = 2.
Given numbers are 428, 202, 374, 536
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 202 are 2 x 101
Prime factors of 374 are 2 x 11 x 17
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 428, 202, 374, 536 is 2.
Given numbers are 428, 202, 374, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 202) = 43228
GCD(428, 202) = ( 428 x 202 ) / 43228
= 428 / 202
= 428
Step2:
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
= 2 / 374
= 2
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 428, 202, 374, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 202, 374, 536
The greatest common divisor of numbers 428, 202, 374, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 202, 374, 536 is 2.
1. What is the GCD of 428, 202, 374, 536?
GCD of given numbers 428, 202, 374, 536 is 2
2. How to calculate the greatest common divisor of 428, 202, 374, 536?
We can find the highest common divisor of 428, 202, 374, 536 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 428, 202, 374, 536 i.e 2.
3. How can I use the GCD of 428, 202, 374, 536Calculator?
Out the numbers 428, 202, 374, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.