Online GCD Calculator is useful to find the GCD of 695, 714, 240, 300 quickly. Get the easiest ways to solve the greatest common divisor of 695, 714, 240, 300 i.e 1 in different methods as follows.
Given Input numbers are 695, 714, 240, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
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 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (695, 714, 240, 300) = 1.
Given numbers are 695, 714, 240, 300
The list of prime factors of all numbers are
Prime factors of 695 are 5 x 139
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 695, 714, 240, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(695, 714) = 496230
GCD(695, 714) = ( 695 x 714 ) / 496230
= 695 / 714
= 695
Step2:
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
= 1 / 240
= 1
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 695, 714, 240, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 695, 714, 240, 300
The greatest common divisor of numbers 695, 714, 240, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 714, 240, 300 is 1.
1. What is the GCD of 695, 714, 240, 300?
GCD of given numbers 695, 714, 240, 300 is 1
2. How to calculate the greatest common divisor of 695, 714, 240, 300?
We can find the highest common divisor of 695, 714, 240, 300 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 695, 714, 240, 300 i.e 1.
3. How can I use the GCD of 695, 714, 240, 300Calculator?
Out the numbers 695, 714, 240, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.