Greatest Common Factor of 71/514, 71/898, 720/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/514, 71/898, 720/530

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 71/514,71/898,720/530

Given fractions are 71/514,71/898,720/530

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 71,71,720

Greatest Common Factor of Numerators i.e. GCF of 71,71,720 is 1 .

LCM of Denominators means LCM of 514,898,530 as per the given fractions.

LCM of 514,898,530 is 61158290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,71,720

GCF of Fractions 71/514,71/898,720/530 is 1/61158290

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 71,71,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,71,720 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 71,71,720 . The biggest common factor number is the GCF number.
So the greatest common factor 71,71,720 is 1.

Lets's calculate LCM of 514,898,530

2 514, 898, 530
257, 449, 265

∴ So the LCM of the given numbers is 2 x 257 x 449 x 265 = 61158290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61158290

Therefore, the GCF of Fractions 71/514,71/898,720/530 is 1/61158290

Least Common Multiple of 514,898,530 with GCF Formula

Least Common Multiple of 514,898,530 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 514,898,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,898,530) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(514,898,530) x common factors =2 x 2 = 4

LCM(514,898,530) = ( 514 × 898 × 530 ) / 4

LCM(514,898,530) = 244633160 / 4

LCM(514,898,530) = 61158290


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 71/514, 71/898, 720/530

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 71/514, 71/898, 720/530?

Answer: GCF of Numerators as per given numbers 71/514, 71/898, 720/530 is

GCF of Numerators i.e. for 71,71,720 is 1

LCM of denominators i.e. for 514,898,530 is 61158290.

Thus, GCF of Fractions is 1/61158290.Finally, GCF of Fractions for 71/514, 71/898, 720/530 is 1/61158290.