GCD of 684, 748, 407 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 684, 748, 407 quickly. Get the easiest ways to solve the greatest common divisor of 684, 748, 407 i.e 1 in different methods as follows.
Given Input numbers are 684, 748, 407
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
GCD of numbers is the greatest common divisor
So, the GCD (684, 748, 407) = 1.
Given numbers are 684, 748, 407
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 407 are 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 684, 748, 407 using LCM Formula
Given numbers are 684, 748, 407
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 748) = 127908
GCD(684, 748) = ( 684 x 748 ) / 127908
= 684 / 748
= 684
Step2:
LCM(4, 407) = 1628
GCD(4, 407) = ( 4 x 407 ) / 1628
= 4 / 407
= 4
So, Greatest Common Divisor of 684, 748, 407 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 684, 748, 407
Given numbers are 684, 748, 407
The greatest common divisor of numbers 684, 748, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 748, 407 is 1.
FAQs on GCD of 684, 748, 407 Calculator
1. What is the GCD of 684, 748, 407?
GCD of given numbers 684, 748, 407 is 1
2. How to calculate the greatest common divisor of 684, 748, 407?
We can find the highest common divisor of 684, 748, 407 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 684, 748, 407 i.e 1.
3. How can I use the GCD of 684, 748, 407Calculator?
Out the numbers 684, 748, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.