Online GCD Calculator is useful to find the GCD of 710, 266, 390, 600 quickly. Get the easiest ways to solve the greatest common divisor of 710, 266, 390, 600 i.e 2 in different methods as follows.
Given Input numbers are 710, 266, 390, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (710, 266, 390, 600) = 2.
Given numbers are 710, 266, 390, 600
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 266 are 2 x 7 x 19
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 710, 266, 390, 600 is 2.
Given numbers are 710, 266, 390, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 266) = 94430
GCD(710, 266) = ( 710 x 266 ) / 94430
= 710 / 266
= 710
Step2:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
Step3:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
So, Greatest Common Divisor of 710, 266, 390, 600 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 266, 390, 600
The greatest common divisor of numbers 710, 266, 390, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 266, 390, 600 is 2.
1. What is the GCD of 710, 266, 390, 600?
GCD of given numbers 710, 266, 390, 600 is 2
2. How to calculate the greatest common divisor of 710, 266, 390, 600?
We can find the highest common divisor of 710, 266, 390, 600 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 710, 266, 390, 600 i.e 2.
3. How can I use the GCD of 710, 266, 390, 600Calculator?
Out the numbers 710, 266, 390, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.