GCD of 298, 407, 42, 114 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 298, 407, 42, 114 quickly. Get the easiest ways to solve the greatest common divisor of 298, 407, 42, 114 i.e 1 in different methods as follows.
Given Input numbers are 298, 407, 42, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (298, 407, 42, 114) = 1.
Given numbers are 298, 407, 42, 114
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 407 are 11 x 37
Prime factors of 42 are 2 x 3 x 7
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 298, 407, 42, 114 using LCM Formula
Given numbers are 298, 407, 42, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 407) = 121286
GCD(298, 407) = ( 298 x 407 ) / 121286
= 298 / 407
= 298
Step2:
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
= 1 / 42
= 1
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 298, 407, 42, 114 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 298, 407, 42, 114
Given numbers are 298, 407, 42, 114
The greatest common divisor of numbers 298, 407, 42, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 407, 42, 114 is 1.
FAQs on GCD of 298, 407, 42, 114 Calculator
1. What is the GCD of 298, 407, 42, 114?
GCD of given numbers 298, 407, 42, 114 is 1
2. How to calculate the greatest common divisor of 298, 407, 42, 114?
We can find the highest common divisor of 298, 407, 42, 114 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 298, 407, 42, 114 i.e 1.
3. How can I use the GCD of 298, 407, 42, 114Calculator?
Out the numbers 298, 407, 42, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.