GCD of 618, 742, 42 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 618, 742, 42 quickly. Get the easiest ways to solve the greatest common divisor of 618, 742, 42 i.e 2 in different methods as follows.
Given Input numbers are 618, 742, 42
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
GCD of numbers is the greatest common divisor
So, the GCD (618, 742, 42) = 2.
Given numbers are 618, 742, 42
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 742 are 2 x 7 x 53
Prime factors of 42 are 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 618, 742, 42 is 2.
Steps to Calculate GCD of 618, 742, 42 using LCM Formula
Given numbers are 618, 742, 42
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 742) = 229278
GCD(618, 742) = ( 618 x 742 ) / 229278
= 618 / 742
= 618
Step2:
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
= 2 / 42
= 2
So, Greatest Common Divisor of 618, 742, 42 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 618, 742, 42
Given numbers are 618, 742, 42
The greatest common divisor of numbers 618, 742, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 742, 42 is 2.
FAQs on GCD of 618, 742, 42 Calculator
1. What is the GCD of 618, 742, 42?
GCD of given numbers 618, 742, 42 is 2
2. How to calculate the greatest common divisor of 618, 742, 42?
We can find the highest common divisor of 618, 742, 42 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 618, 742, 42 i.e 2.
3. How can I use the GCD of 618, 742, 42Calculator?
Out the numbers 618, 742, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.