Online GCD Calculator is useful to find the GCD of 275, 265, 775, 760 quickly. Get the easiest ways to solve the greatest common divisor of 275, 265, 775, 760 i.e 5 in different methods as follows.
Given Input numbers are 275, 265, 775, 760
In the factoring method, we have to find the divisors of all numbers
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
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
GCD of numbers is the greatest common divisor
So, the GCD (275, 265, 775, 760) = 5.
Given numbers are 275, 265, 775, 760
The list of prime factors of all numbers are
Prime factors of 275 are 5 x 5 x 11
Prime factors of 265 are 5 x 53
Prime factors of 775 are 5 x 5 x 31
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The highest common occurrence is 51
Therefore, GCD of 275, 265, 775, 760 is 5.
Given numbers are 275, 265, 775, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(275, 265) = 14575
GCD(275, 265) = ( 275 x 265 ) / 14575
= 275 / 265
= 275
Step2:
LCM(5, 775) = 775
GCD(5, 775) = ( 5 x 775 ) / 775
= 5 / 775
= 5
Step3:
LCM(5, 760) = 760
GCD(5, 760) = ( 5 x 760 ) / 760
= 5 / 760
= 5
So, Greatest Common Divisor of 275, 265, 775, 760 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 275, 265, 775, 760
The greatest common divisor of numbers 275, 265, 775, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 265, 775, 760 is 5.
1. What is the GCD of 275, 265, 775, 760?
GCD of given numbers 275, 265, 775, 760 is 5
2. How to calculate the greatest common divisor of 275, 265, 775, 760?
We can find the highest common divisor of 275, 265, 775, 760 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 275, 265, 775, 760 i.e 5.
3. How can I use the GCD of 275, 265, 775, 760Calculator?
Out the numbers 275, 265, 775, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.