Online GCD Calculator is useful to find the GCD of 400, 436, 390, 840 quickly. Get the easiest ways to solve the greatest common divisor of 400, 436, 390, 840 i.e 2 in different methods as follows.
Given Input numbers are 400, 436, 390, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (400, 436, 390, 840) = 2.
Given numbers are 400, 436, 390, 840
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 436 are 2 x 2 x 109
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 400, 436, 390, 840 is 2.
Given numbers are 400, 436, 390, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 436) = 43600
GCD(400, 436) = ( 400 x 436 ) / 43600
= 400 / 436
= 400
Step2:
LCM(4, 390) = 780
GCD(4, 390) = ( 4 x 390 ) / 780
= 4 / 390
= 4
Step3:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
So, Greatest Common Divisor of 400, 436, 390, 840 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 436, 390, 840
The greatest common divisor of numbers 400, 436, 390, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 436, 390, 840 is 2.
1. What is the GCD of 400, 436, 390, 840?
GCD of given numbers 400, 436, 390, 840 is 2
2. How to calculate the greatest common divisor of 400, 436, 390, 840?
We can find the highest common divisor of 400, 436, 390, 840 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 400, 436, 390, 840 i.e 2.
3. How can I use the GCD of 400, 436, 390, 840Calculator?
Out the numbers 400, 436, 390, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.