GCD of 35, 74, 31, 40 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 35, 74, 31, 40 quickly. Get the easiest ways to solve the greatest common divisor of 35, 74, 31, 40 i.e 1 in different methods as follows.
Given Input numbers are 35, 74, 31, 40
In the factoring method, we have to find the divisors of all numbers
Divisors of 35 :
The positive integer divisors of 35 that completely divides 35 are.
1, 5, 7, 35
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
GCD of numbers is the greatest common divisor
So, the GCD (35, 74, 31, 40) = 1.
Given numbers are 35, 74, 31, 40
The list of prime factors of all numbers are
Prime factors of 35 are 5 x 7
Prime factors of 74 are 2 x 37
Prime factors of 31 are 31
Prime factors of 40 are 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 35, 74, 31, 40 using LCM Formula
Given numbers are 35, 74, 31, 40
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(35, 74) = 2590
GCD(35, 74) = ( 35 x 74 ) / 2590
= 35 / 74
= 35
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
= 1 / 40
= 1
So, Greatest Common Divisor of 35, 74, 31, 40 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 35, 74, 31, 40
Given numbers are 35, 74, 31, 40
The greatest common divisor of numbers 35, 74, 31, 40 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 35, 74, 31, 40 is 1.
FAQs on GCD of 35, 74, 31, 40 Calculator
1. What is the GCD of 35, 74, 31, 40?
GCD of given numbers 35, 74, 31, 40 is 1
2. How to calculate the greatest common divisor of 35, 74, 31, 40?
We can find the highest common divisor of 35, 74, 31, 40 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 35, 74, 31, 40 i.e 1.
3. How can I use the GCD of 35, 74, 31, 40Calculator?
Out the numbers 35, 74, 31, 40 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.