Online GCD Calculator is useful to find the GCD of 755, 775, 920, 895 quickly. Get the easiest ways to solve the greatest common divisor of 755, 775, 920, 895 i.e 5 in different methods as follows.
Given Input numbers are 755, 775, 920, 895
In the factoring method, we have to find the divisors of all numbers
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 895 :
The positive integer divisors of 895 that completely divides 895 are.
1, 5, 179, 895
GCD of numbers is the greatest common divisor
So, the GCD (755, 775, 920, 895) = 5.
Given numbers are 755, 775, 920, 895
The list of prime factors of all numbers are
Prime factors of 755 are 5 x 151
Prime factors of 775 are 5 x 5 x 31
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 895 are 5 x 179
The highest common occurrence is 51
Therefore, GCD of 755, 775, 920, 895 is 5.
Given numbers are 755, 775, 920, 895
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(755, 775) = 117025
GCD(755, 775) = ( 755 x 775 ) / 117025
= 755 / 775
= 755
Step2:
LCM(5, 920) = 920
GCD(5, 920) = ( 5 x 920 ) / 920
= 5 / 920
= 5
Step3:
LCM(5, 895) = 895
GCD(5, 895) = ( 5 x 895 ) / 895
= 5 / 895
= 5
So, Greatest Common Divisor of 755, 775, 920, 895 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 755, 775, 920, 895
The greatest common divisor of numbers 755, 775, 920, 895 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 775, 920, 895 is 5.
1. What is the GCD of 755, 775, 920, 895?
GCD of given numbers 755, 775, 920, 895 is 5
2. How to calculate the greatest common divisor of 755, 775, 920, 895?
We can find the highest common divisor of 755, 775, 920, 895 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 755, 775, 920, 895 i.e 5.
3. How can I use the GCD of 755, 775, 920, 895Calculator?
Out the numbers 755, 775, 920, 895 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.