GCD of 630, 140, 714 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 630, 140, 714 quickly. Get the easiest ways to solve the greatest common divisor of 630, 140, 714 i.e 14 in different methods as follows.
Given Input numbers are 630, 140, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (630, 140, 714) = 14.
Given numbers are 630, 140, 714
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 21 x 71
Therefore, GCD of 630, 140, 714 is 14.
Steps to Calculate GCD of 630, 140, 714 using LCM Formula
Given numbers are 630, 140, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 140) = 1260
GCD(630, 140) = ( 630 x 140 ) / 1260
= 630 / 140
= 630
Step2:
LCM(70, 714) = 3570
GCD(70, 714) = ( 70 x 714 ) / 3570
= 70 / 714
= 70
So, Greatest Common Divisor of 630, 140, 714 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 630, 140, 714
Given numbers are 630, 140, 714
The greatest common divisor of numbers 630, 140, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 140, 714 is 14.
FAQs on GCD of 630, 140, 714 Calculator
1. What is the GCD of 630, 140, 714?
GCD of given numbers 630, 140, 714 is 14
2. How to calculate the greatest common divisor of 630, 140, 714?
We can find the highest common divisor of 630, 140, 714 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 630, 140, 714 i.e 14.
3. How can I use the GCD of 630, 140, 714Calculator?
Out the numbers 630, 140, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.