Online GCD Calculator is useful to find the GCD of 840, 718, 240, 434 quickly. Get the easiest ways to solve the greatest common divisor of 840, 718, 240, 434 i.e 2 in different methods as follows.
Given Input numbers are 840, 718, 240, 434
In the factoring method, we have to find the divisors of all numbers
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 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (840, 718, 240, 434) = 2.
Given numbers are 840, 718, 240, 434
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 718 are 2 x 359
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 434 are 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 840, 718, 240, 434 is 2.
Given numbers are 840, 718, 240, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 718) = 301560
GCD(840, 718) = ( 840 x 718 ) / 301560
= 840 / 718
= 840
Step2:
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
= 2 / 240
= 2
Step3:
LCM(2, 434) = 434
GCD(2, 434) = ( 2 x 434 ) / 434
= 2 / 434
= 2
So, Greatest Common Divisor of 840, 718, 240, 434 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 718, 240, 434
The greatest common divisor of numbers 840, 718, 240, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 718, 240, 434 is 2.
1. What is the GCD of 840, 718, 240, 434?
GCD of given numbers 840, 718, 240, 434 is 2
2. How to calculate the greatest common divisor of 840, 718, 240, 434?
We can find the highest common divisor of 840, 718, 240, 434 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 840, 718, 240, 434 i.e 2.
3. How can I use the GCD of 840, 718, 240, 434Calculator?
Out the numbers 840, 718, 240, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.