Online GCD Calculator is useful to find the GCD of 838, 240, 702, 710 quickly. Get the easiest ways to solve the greatest common divisor of 838, 240, 702, 710 i.e 2 in different methods as follows.
Given Input numbers are 838, 240, 702, 710
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
GCD of numbers is the greatest common divisor
So, the GCD (838, 240, 702, 710) = 2.
Given numbers are 838, 240, 702, 710
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 710 are 2 x 5 x 71
The highest common occurrence is 21
Therefore, GCD of 838, 240, 702, 710 is 2.
Given numbers are 838, 240, 702, 710
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 240) = 100560
GCD(838, 240) = ( 838 x 240 ) / 100560
= 838 / 240
= 838
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
Step3:
LCM(2, 710) = 710
GCD(2, 710) = ( 2 x 710 ) / 710
= 2 / 710
= 2
So, Greatest Common Divisor of 838, 240, 702, 710 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 240, 702, 710
The greatest common divisor of numbers 838, 240, 702, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 240, 702, 710 is 2.
1. What is the GCD of 838, 240, 702, 710?
GCD of given numbers 838, 240, 702, 710 is 2
2. How to calculate the greatest common divisor of 838, 240, 702, 710?
We can find the highest common divisor of 838, 240, 702, 710 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 838, 240, 702, 710 i.e 2.
3. How can I use the GCD of 838, 240, 702, 710Calculator?
Out the numbers 838, 240, 702, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.