GCD of 560, 350, 294 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 560, 350, 294 quickly. Get the easiest ways to solve the greatest common divisor of 560, 350, 294 i.e 14 in different methods as follows.
Given Input numbers are 560, 350, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (560, 350, 294) = 14.
Given numbers are 560, 350, 294
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 294 are 2 x 3 x 7 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 560, 350, 294 is 14.
Steps to Calculate GCD of 560, 350, 294 using LCM Formula
Given numbers are 560, 350, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 350) = 2800
GCD(560, 350) = ( 560 x 350 ) / 2800
= 560 / 350
= 560
Step2:
LCM(70, 294) = 1470
GCD(70, 294) = ( 70 x 294 ) / 1470
= 70 / 294
= 70
So, Greatest Common Divisor of 560, 350, 294 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 560, 350, 294
Given numbers are 560, 350, 294
The greatest common divisor of numbers 560, 350, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 350, 294 is 14.
FAQs on GCD of 560, 350, 294 Calculator
1. What is the GCD of 560, 350, 294?
GCD of given numbers 560, 350, 294 is 14
2. How to calculate the greatest common divisor of 560, 350, 294?
We can find the highest common divisor of 560, 350, 294 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 560, 350, 294 i.e 14.
3. How can I use the GCD of 560, 350, 294Calculator?
Out the numbers 560, 350, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.