Online GCD Calculator is useful to find the GCD of 240, 702, 102, 334 quickly. Get the easiest ways to solve the greatest common divisor of 240, 702, 102, 334 i.e 2 in different methods as follows.
Given Input numbers are 240, 702, 102, 334
In the factoring method, we have to find the divisors of all numbers
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
GCD of numbers is the greatest common divisor
So, the GCD (240, 702, 102, 334) = 2.
Given numbers are 240, 702, 102, 334
The list of prime factors of all numbers are
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 102 are 2 x 3 x 17
Prime factors of 334 are 2 x 167
The highest common occurrence is 21
Therefore, GCD of 240, 702, 102, 334 is 2.
Given numbers are 240, 702, 102, 334
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 702) = 28080
GCD(240, 702) = ( 240 x 702 ) / 28080
= 240 / 702
= 240
Step2:
LCM(6, 102) = 102
GCD(6, 102) = ( 6 x 102 ) / 102
= 6 / 102
= 6
Step3:
LCM(6, 334) = 1002
GCD(6, 334) = ( 6 x 334 ) / 1002
= 6 / 334
= 6
So, Greatest Common Divisor of 240, 702, 102, 334 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 702, 102, 334
The greatest common divisor of numbers 240, 702, 102, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 702, 102, 334 is 2.
1. What is the GCD of 240, 702, 102, 334?
GCD of given numbers 240, 702, 102, 334 is 2
2. How to calculate the greatest common divisor of 240, 702, 102, 334?
We can find the highest common divisor of 240, 702, 102, 334 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 240, 702, 102, 334 i.e 2.
3. How can I use the GCD of 240, 702, 102, 334Calculator?
Out the numbers 240, 702, 102, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.