Greatest Common Factor of 516/9280, 914/1818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/9280, 914/1818

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 516/9280,914/1818

Given fractions are 516/9280,914/1818

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 516,914

Greatest Common Factor of Numerators i.e. GCF of 516,914 is 2 .

LCM of Denominators means LCM of 9280,1818 as per the given fractions.

LCM of 9280,1818 is 8435520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,914

GCF of Fractions 516/9280,914/1818 is 2/8435520

2 516, 914
258, 457

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 516,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,914 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 516,914 . The biggest common factor number is the GCF number.
So the greatest common factor 516,914 is 2.

Lets's calculate LCM of 9280,1818

2 9280, 1818
4640, 909

∴ So the LCM of the given numbers is 2 x 4640 x 909 = 8435520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8435520

Therefore, the GCF of Fractions 516/9280,914/1818 is 2/8435520

Least Common Multiple of 9280,1818 with GCF Formula

Least Common Multiple of 9280,1818 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9280,1818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9280,1818) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(9280,1818) x common factors =2 x 1 = 2

LCM(9280,1818) = ( 9280 × 1818 ) / 2

LCM(9280,1818) = 16871040 / 2

LCM(9280,1818) = 8435520


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 516/9280, 914/1818

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 516/9280, 914/1818?

Answer: GCF of Numerators as per given numbers 516/9280, 914/1818 is

GCF of Numerators i.e. for 516,914 is 2

LCM of denominators i.e. for 9280,1818 is 8435520.

Thus, GCF of Fractions is 2/8435520.Finally, GCF of Fractions for 516/9280, 914/1818 is 2/8435520.