GCD of 895, 825, 780 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 895, 825, 780 quickly. Get the easiest ways to solve the greatest common divisor of 895, 825, 780 i.e 5 in different methods as follows.
Given Input numbers are 895, 825, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 895 :
The positive integer divisors of 895 that completely divides 895 are.
1, 5, 179, 895
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (895, 825, 780) = 5.
Given numbers are 895, 825, 780
The list of prime factors of all numbers are
Prime factors of 895 are 5 x 179
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 51
Therefore, GCD of 895, 825, 780 is 5.
Steps to Calculate GCD of 895, 825, 780 using LCM Formula
Given numbers are 895, 825, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(895, 825) = 147675
GCD(895, 825) = ( 895 x 825 ) / 147675
= 895 / 825
= 895
Step2:
LCM(5, 780) = 780
GCD(5, 780) = ( 5 x 780 ) / 780
= 5 / 780
= 5
So, Greatest Common Divisor of 895, 825, 780 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 895, 825, 780
Given numbers are 895, 825, 780
The greatest common divisor of numbers 895, 825, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 895, 825, 780 is 5.
FAQs on GCD of 895, 825, 780 Calculator
1. What is the GCD of 895, 825, 780?
GCD of given numbers 895, 825, 780 is 5
2. How to calculate the greatest common divisor of 895, 825, 780?
We can find the highest common divisor of 895, 825, 780 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 895, 825, 780 i.e 5.
3. How can I use the GCD of 895, 825, 780Calculator?
Out the numbers 895, 825, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.