GCD of 462, 350, 910 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 462, 350, 910 quickly. Get the easiest ways to solve the greatest common divisor of 462, 350, 910 i.e 14 in different methods as follows.
Given Input numbers are 462, 350, 910
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
GCD of numbers is the greatest common divisor
So, the GCD (462, 350, 910) = 14.
Given numbers are 462, 350, 910
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 910 are 2 x 5 x 7 x 13
The highest common occurrence is 21 x 71
Therefore, GCD of 462, 350, 910 is 14.
Steps to Calculate GCD of 462, 350, 910 using LCM Formula
Given numbers are 462, 350, 910
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 350) = 11550
GCD(462, 350) = ( 462 x 350 ) / 11550
= 462 / 350
= 462
Step2:
LCM(14, 910) = 910
GCD(14, 910) = ( 14 x 910 ) / 910
= 14 / 910
= 14
So, Greatest Common Divisor of 462, 350, 910 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 462, 350, 910
Given numbers are 462, 350, 910
The greatest common divisor of numbers 462, 350, 910 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 350, 910 is 14.
FAQs on GCD of 462, 350, 910 Calculator
1. What is the GCD of 462, 350, 910?
GCD of given numbers 462, 350, 910 is 14
2. How to calculate the greatest common divisor of 462, 350, 910?
We can find the highest common divisor of 462, 350, 910 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 462, 350, 910 i.e 14.
3. How can I use the GCD of 462, 350, 910Calculator?
Out the numbers 462, 350, 910 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.