Online GCD Calculator is useful to find the GCD of 710, 342, 298, 764 quickly. Get the easiest ways to solve the greatest common divisor of 710, 342, 298, 764 i.e 2 in different methods as follows.
Given Input numbers are 710, 342, 298, 764
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (710, 342, 298, 764) = 2.
Given numbers are 710, 342, 298, 764
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 298 are 2 x 149
Prime factors of 764 are 2 x 2 x 191
The highest common occurrence is 21
Therefore, GCD of 710, 342, 298, 764 is 2.
Given numbers are 710, 342, 298, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 342) = 121410
GCD(710, 342) = ( 710 x 342 ) / 121410
= 710 / 342
= 710
Step2:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
Step3:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
So, Greatest Common Divisor of 710, 342, 298, 764 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 710, 342, 298, 764
The greatest common divisor of numbers 710, 342, 298, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 342, 298, 764 is 2.
1. What is the GCD of 710, 342, 298, 764?
GCD of given numbers 710, 342, 298, 764 is 2
2. How to calculate the greatest common divisor of 710, 342, 298, 764?
We can find the highest common divisor of 710, 342, 298, 764 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, 342, 298, 764 i.e 2.
3. How can I use the GCD of 710, 342, 298, 764Calculator?
Out the numbers 710, 342, 298, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.