GCD of 474, 704, 674 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 474, 704, 674 quickly. Get the easiest ways to solve the greatest common divisor of 474, 704, 674 i.e 2 in different methods as follows.
Given Input numbers are 474, 704, 674
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 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (474, 704, 674) = 2.
Given numbers are 474, 704, 674
The list of prime factors of all numbers are
Prime factors of 474 are 2 x 3 x 79
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 674 are 2 x 337
The highest common occurrence is 21
Therefore, GCD of 474, 704, 674 is 2.
Steps to Calculate GCD of 474, 704, 674 using LCM Formula
Given numbers are 474, 704, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(474, 704) = 166848
GCD(474, 704) = ( 474 x 704 ) / 166848
= 474 / 704
= 474
Step2:
LCM(2, 674) = 674
GCD(2, 674) = ( 2 x 674 ) / 674
= 2 / 674
= 2
So, Greatest Common Divisor of 474, 704, 674 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 474, 704, 674
Given numbers are 474, 704, 674
The greatest common divisor of numbers 474, 704, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 704, 674 is 2.
FAQs on GCD of 474, 704, 674 Calculator
1. What is the GCD of 474, 704, 674?
GCD of given numbers 474, 704, 674 is 2
2. How to calculate the greatest common divisor of 474, 704, 674?
We can find the highest common divisor of 474, 704, 674 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, 704, 674 i.e 2.
3. How can I use the GCD of 474, 704, 674Calculator?
Out the numbers 474, 704, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.