GCD of 65, 75, 45, 70 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 65, 75, 45, 70 quickly. Get the easiest ways to solve the greatest common divisor of 65, 75, 45, 70 i.e 5 in different methods as follows.
Given Input numbers are 65, 75, 45, 70
In the factoring method, we have to find the divisors of all numbers
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
GCD of numbers is the greatest common divisor
So, the GCD (65, 75, 45, 70) = 5.
Given numbers are 65, 75, 45, 70
The list of prime factors of all numbers are
Prime factors of 65 are 5 x 13
Prime factors of 75 are 3 x 5 x 5
Prime factors of 45 are 3 x 3 x 5
Prime factors of 70 are 2 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 65, 75, 45, 70 is 5.
Steps to Calculate GCD of 65, 75, 45, 70 using LCM Formula
Given numbers are 65, 75, 45, 70
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(65, 75) = 975
GCD(65, 75) = ( 65 x 75 ) / 975
= 65 / 75
= 65
Step2:
LCM(5, 45) = 45
GCD(5, 45) = ( 5 x 45 ) / 45
= 5 / 45
= 5
Step3:
LCM(5, 70) = 70
GCD(5, 70) = ( 5 x 70 ) / 70
= 5 / 70
= 5
So, Greatest Common Divisor of 65, 75, 45, 70 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 65, 75, 45, 70
Given numbers are 65, 75, 45, 70
The greatest common divisor of numbers 65, 75, 45, 70 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 65, 75, 45, 70 is 5.
FAQs on GCD of 65, 75, 45, 70 Calculator
1. What is the GCD of 65, 75, 45, 70?
GCD of given numbers 65, 75, 45, 70 is 5
2. How to calculate the greatest common divisor of 65, 75, 45, 70?
We can find the highest common divisor of 65, 75, 45, 70 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 65, 75, 45, 70 i.e 5.
3. How can I use the GCD of 65, 75, 45, 70Calculator?
Out the numbers 65, 75, 45, 70 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.