Online GCD Calculator is useful to find the GCD of 436, 284, 746, 420 quickly. Get the easiest ways to solve the greatest common divisor of 436, 284, 746, 420 i.e 2 in different methods as follows.
Given Input numbers are 436, 284, 746, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (436, 284, 746, 420) = 2.
Given numbers are 436, 284, 746, 420
The list of prime factors of all numbers are
Prime factors of 436 are 2 x 2 x 109
Prime factors of 284 are 2 x 2 x 71
Prime factors of 746 are 2 x 373
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 436, 284, 746, 420 is 2.
Given numbers are 436, 284, 746, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(436, 284) = 30956
GCD(436, 284) = ( 436 x 284 ) / 30956
= 436 / 284
= 436
Step2:
LCM(4, 746) = 1492
GCD(4, 746) = ( 4 x 746 ) / 1492
= 4 / 746
= 4
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 436, 284, 746, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 436, 284, 746, 420
The greatest common divisor of numbers 436, 284, 746, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 284, 746, 420 is 2.
1. What is the GCD of 436, 284, 746, 420?
GCD of given numbers 436, 284, 746, 420 is 2
2. How to calculate the greatest common divisor of 436, 284, 746, 420?
We can find the highest common divisor of 436, 284, 746, 420 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 436, 284, 746, 420 i.e 2.
3. How can I use the GCD of 436, 284, 746, 420Calculator?
Out the numbers 436, 284, 746, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.