GCD of 385, 735, 847 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 385, 735, 847 quickly. Get the easiest ways to solve the greatest common divisor of 385, 735, 847 i.e 7 in different methods as follows.
Given Input numbers are 385, 735, 847
In the factoring method, we have to find the divisors of all numbers
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 847 :
The positive integer divisors of 847 that completely divides 847 are.
1, 7, 11, 77, 121, 847
GCD of numbers is the greatest common divisor
So, the GCD (385, 735, 847) = 7.
Given numbers are 385, 735, 847
The list of prime factors of all numbers are
Prime factors of 385 are 5 x 7 x 11
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 847 are 7 x 11 x 11
The highest common occurrence is 71
Therefore, GCD of 385, 735, 847 is 7.
Steps to Calculate GCD of 385, 735, 847 using LCM Formula
Given numbers are 385, 735, 847
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(385, 735) = 8085
GCD(385, 735) = ( 385 x 735 ) / 8085
= 385 / 735
= 385
Step2:
LCM(35, 847) = 4235
GCD(35, 847) = ( 35 x 847 ) / 4235
= 35 / 847
= 35
So, Greatest Common Divisor of 385, 735, 847 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 385, 735, 847
Given numbers are 385, 735, 847
The greatest common divisor of numbers 385, 735, 847 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 735, 847 is 7.
FAQs on GCD of 385, 735, 847 Calculator
1. What is the GCD of 385, 735, 847?
GCD of given numbers 385, 735, 847 is 7
2. How to calculate the greatest common divisor of 385, 735, 847?
We can find the highest common divisor of 385, 735, 847 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 385, 735, 847 i.e 7.
3. How can I use the GCD of 385, 735, 847Calculator?
Out the numbers 385, 735, 847 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.