GCD of 107, 703, 889, 343 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 107, 703, 889, 343 quickly. Get the easiest ways to solve the greatest common divisor of 107, 703, 889, 343 i.e 1 in different methods as follows.
Given Input numbers are 107, 703, 889, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (107, 703, 889, 343) = 1.
Given numbers are 107, 703, 889, 343
The list of prime factors of all numbers are
Prime factors of 107 are 107
Prime factors of 703 are 19 x 37
Prime factors of 889 are 7 x 127
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 107, 703, 889, 343 using LCM Formula
Given numbers are 107, 703, 889, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(107, 703) = 75221
GCD(107, 703) = ( 107 x 703 ) / 75221
= 107 / 703
= 107
Step2:
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
= 1 / 889
= 1
Step3:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
So, Greatest Common Divisor of 107, 703, 889, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 107, 703, 889, 343
Given numbers are 107, 703, 889, 343
The greatest common divisor of numbers 107, 703, 889, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 703, 889, 343 is 1.
FAQs on GCD of 107, 703, 889, 343 Calculator
1. What is the GCD of 107, 703, 889, 343?
GCD of given numbers 107, 703, 889, 343 is 1
2. How to calculate the greatest common divisor of 107, 703, 889, 343?
We can find the highest common divisor of 107, 703, 889, 343 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 107, 703, 889, 343 i.e 1.
3. How can I use the GCD of 107, 703, 889, 343Calculator?
Out the numbers 107, 703, 889, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.