GCD of 340, 630, 280 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 340, 630, 280 quickly. Get the easiest ways to solve the greatest common divisor of 340, 630, 280 i.e 10 in different methods as follows.
Given Input numbers are 340, 630, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (340, 630, 280) = 10.
Given numbers are 340, 630, 280
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 21 x 51
Therefore, GCD of 340, 630, 280 is 10.
Steps to Calculate GCD of 340, 630, 280 using LCM Formula
Given numbers are 340, 630, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 630) = 21420
GCD(340, 630) = ( 340 x 630 ) / 21420
= 340 / 630
= 340
Step2:
LCM(10, 280) = 280
GCD(10, 280) = ( 10 x 280 ) / 280
= 10 / 280
= 10
So, Greatest Common Divisor of 340, 630, 280 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 340, 630, 280
Given numbers are 340, 630, 280
The greatest common divisor of numbers 340, 630, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 630, 280 is 10.
FAQs on GCD of 340, 630, 280 Calculator
1. What is the GCD of 340, 630, 280?
GCD of given numbers 340, 630, 280 is 10
2. How to calculate the greatest common divisor of 340, 630, 280?
We can find the highest common divisor of 340, 630, 280 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 340, 630, 280 i.e 10.
3. How can I use the GCD of 340, 630, 280Calculator?
Out the numbers 340, 630, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.