Online GCD Calculator is useful to find the GCD of 760, 359, 169, 300 quickly. Get the easiest ways to solve the greatest common divisor of 760, 359, 169, 300 i.e 1 in different methods as follows.
Given Input numbers are 760, 359, 169, 300
In the factoring method, we have to find the divisors of all numbers
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 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
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 (760, 359, 169, 300) = 1.
Given numbers are 760, 359, 169, 300
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 359 are 359
Prime factors of 169 are 13 x 13
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 760, 359, 169, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 359) = 272840
GCD(760, 359) = ( 760 x 359 ) / 272840
= 760 / 359
= 760
Step2:
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
= 1 / 169
= 1
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 760, 359, 169, 300 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 359, 169, 300
The greatest common divisor of numbers 760, 359, 169, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 359, 169, 300 is 1.
1. What is the GCD of 760, 359, 169, 300?
GCD of given numbers 760, 359, 169, 300 is 1
2. How to calculate the greatest common divisor of 760, 359, 169, 300?
We can find the highest common divisor of 760, 359, 169, 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 760, 359, 169, 300 i.e 1.
3. How can I use the GCD of 760, 359, 169, 300Calculator?
Out the numbers 760, 359, 169, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.