Online GCD Calculator is useful to find the GCD of 742, 840, 436, 230 quickly. Get the easiest ways to solve the greatest common divisor of 742, 840, 436, 230 i.e 2 in different methods as follows.
Given Input numbers are 742, 840, 436, 230
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
GCD of numbers is the greatest common divisor
So, the GCD (742, 840, 436, 230) = 2.
Given numbers are 742, 840, 436, 230
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 436 are 2 x 2 x 109
Prime factors of 230 are 2 x 5 x 23
The highest common occurrence is 21
Therefore, GCD of 742, 840, 436, 230 is 2.
Given numbers are 742, 840, 436, 230
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 840) = 44520
GCD(742, 840) = ( 742 x 840 ) / 44520
= 742 / 840
= 742
Step2:
LCM(14, 436) = 3052
GCD(14, 436) = ( 14 x 436 ) / 3052
= 14 / 436
= 14
Step3:
LCM(2, 230) = 230
GCD(2, 230) = ( 2 x 230 ) / 230
= 2 / 230
= 2
So, Greatest Common Divisor of 742, 840, 436, 230 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 840, 436, 230
The greatest common divisor of numbers 742, 840, 436, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 840, 436, 230 is 2.
1. What is the GCD of 742, 840, 436, 230?
GCD of given numbers 742, 840, 436, 230 is 2
2. How to calculate the greatest common divisor of 742, 840, 436, 230?
We can find the highest common divisor of 742, 840, 436, 230 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 742, 840, 436, 230 i.e 2.
3. How can I use the GCD of 742, 840, 436, 230Calculator?
Out the numbers 742, 840, 436, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.