Online GCD Calculator is useful to find the GCD of 510, 760, 707, 108 quickly. Get the easiest ways to solve the greatest common divisor of 510, 760, 707, 108 i.e 1 in different methods as follows.
Given Input numbers are 510, 760, 707, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (510, 760, 707, 108) = 1.
Given numbers are 510, 760, 707, 108
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 707 are 7 x 101
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 510, 760, 707, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 760) = 38760
GCD(510, 760) = ( 510 x 760 ) / 38760
= 510 / 760
= 510
Step2:
LCM(10, 707) = 7070
GCD(10, 707) = ( 10 x 707 ) / 7070
= 10 / 707
= 10
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 510, 760, 707, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 510, 760, 707, 108
The greatest common divisor of numbers 510, 760, 707, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 760, 707, 108 is 1.
1. What is the GCD of 510, 760, 707, 108?
GCD of given numbers 510, 760, 707, 108 is 1
2. How to calculate the greatest common divisor of 510, 760, 707, 108?
We can find the highest common divisor of 510, 760, 707, 108 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 510, 760, 707, 108 i.e 1.
3. How can I use the GCD of 510, 760, 707, 108Calculator?
Out the numbers 510, 760, 707, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.