GCD of 448, 702, 441 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 448, 702, 441 quickly. Get the easiest ways to solve the greatest common divisor of 448, 702, 441 i.e 1 in different methods as follows.
Given Input numbers are 448, 702, 441
In the factoring method, we have to find the divisors of all numbers
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
GCD of numbers is the greatest common divisor
So, the GCD (448, 702, 441) = 1.
Given numbers are 448, 702, 441
The list of prime factors of all numbers are
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 441 are 3 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 448, 702, 441 using LCM Formula
Given numbers are 448, 702, 441
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(448, 702) = 157248
GCD(448, 702) = ( 448 x 702 ) / 157248
= 448 / 702
= 448
Step2:
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
= 2 / 441
= 2
So, Greatest Common Divisor of 448, 702, 441 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 448, 702, 441
Given numbers are 448, 702, 441
The greatest common divisor of numbers 448, 702, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 702, 441 is 1.
FAQs on GCD of 448, 702, 441 Calculator
1. What is the GCD of 448, 702, 441?
GCD of given numbers 448, 702, 441 is 1
2. How to calculate the greatest common divisor of 448, 702, 441?
We can find the highest common divisor of 448, 702, 441 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 448, 702, 441 i.e 1.
3. How can I use the GCD of 448, 702, 441Calculator?
Out the numbers 448, 702, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.