GCD of 95, 40, 49, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 95, 40, 49, 14 quickly. Get the easiest ways to solve the greatest common divisor of 95, 40, 49, 14 i.e 1 in different methods as follows.
Given Input numbers are 95, 40, 49, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 95 :
The positive integer divisors of 95 that completely divides 95 are.
1, 5, 19, 95
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
GCD of numbers is the greatest common divisor
So, the GCD (95, 40, 49, 14) = 1.
Given numbers are 95, 40, 49, 14
The list of prime factors of all numbers are
Prime factors of 95 are 5 x 19
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 49 are 7 x 7
Prime factors of 14 are 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 95, 40, 49, 14 using LCM Formula
Given numbers are 95, 40, 49, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(95, 40) = 760
GCD(95, 40) = ( 95 x 40 ) / 760
= 95 / 40
= 95
Step2:
LCM(5, 49) = 245
GCD(5, 49) = ( 5 x 49 ) / 245
= 5 / 49
= 5
Step3:
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
= 1 / 14
= 1
So, Greatest Common Divisor of 95, 40, 49, 14 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 95, 40, 49, 14
Given numbers are 95, 40, 49, 14
The greatest common divisor of numbers 95, 40, 49, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 95, 40, 49, 14 is 1.
FAQs on GCD of 95, 40, 49, 14 Calculator
1. What is the GCD of 95, 40, 49, 14?
GCD of given numbers 95, 40, 49, 14 is 1
2. How to calculate the greatest common divisor of 95, 40, 49, 14?
We can find the highest common divisor of 95, 40, 49, 14 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 95, 40, 49, 14 i.e 1.
3. How can I use the GCD of 95, 40, 49, 14Calculator?
Out the numbers 95, 40, 49, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.