GCD of 474, 736, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 474, 736, 14 quickly. Get the easiest ways to solve the greatest common divisor of 474, 736, 14 i.e 2 in different methods as follows.
Given Input numbers are 474, 736, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 (474, 736, 14) = 2.
Given numbers are 474, 736, 14
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 14 are 2 x 7
The highest common occurrence is 21
Therefore, GCD of 474, 736, 14 is 2.
Steps to Calculate GCD of 474, 736, 14 using LCM Formula
Given numbers are 474, 736, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 736) = 174432
GCD(474, 736) = ( 474 x 736 ) / 174432
= 474 / 736
= 474
Step2:
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
= 2 / 14
= 2
So, Greatest Common Divisor of 474, 736, 14 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 474, 736, 14
Given numbers are 474, 736, 14
The greatest common divisor of numbers 474, 736, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 736, 14 is 2.
FAQs on GCD of 474, 736, 14 Calculator
1. What is the GCD of 474, 736, 14?
GCD of given numbers 474, 736, 14 is 2
2. How to calculate the greatest common divisor of 474, 736, 14?
We can find the highest common divisor of 474, 736, 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 474, 736, 14 i.e 2.
3. How can I use the GCD of 474, 736, 14Calculator?
Out the numbers 474, 736, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.