GCD of 465, 920, 695 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 465, 920, 695 quickly. Get the easiest ways to solve the greatest common divisor of 465, 920, 695 i.e 5 in different methods as follows.
Given Input numbers are 465, 920, 695
In the factoring method, we have to find the divisors of all numbers
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
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 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
GCD of numbers is the greatest common divisor
So, the GCD (465, 920, 695) = 5.
Given numbers are 465, 920, 695
The list of prime factors of all numbers are
Prime factors of 465 are 3 x 5 x 31
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 695 are 5 x 139
The highest common occurrence is 51
Therefore, GCD of 465, 920, 695 is 5.
Steps to Calculate GCD of 465, 920, 695 using LCM Formula
Given numbers are 465, 920, 695
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(465, 920) = 85560
GCD(465, 920) = ( 465 x 920 ) / 85560
= 465 / 920
= 465
Step2:
LCM(5, 695) = 695
GCD(5, 695) = ( 5 x 695 ) / 695
= 5 / 695
= 5
So, Greatest Common Divisor of 465, 920, 695 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 465, 920, 695
Given numbers are 465, 920, 695
The greatest common divisor of numbers 465, 920, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 920, 695 is 5.
FAQs on GCD of 465, 920, 695 Calculator
1. What is the GCD of 465, 920, 695?
GCD of given numbers 465, 920, 695 is 5
2. How to calculate the greatest common divisor of 465, 920, 695?
We can find the highest common divisor of 465, 920, 695 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 465, 920, 695 i.e 5.
3. How can I use the GCD of 465, 920, 695Calculator?
Out the numbers 465, 920, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.