Greatest Common Factor of 71/711, 83/675, 690/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/711, 83/675, 690/440

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 71/711,83/675,690/440

Given fractions are 71/711,83/675,690/440

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 71,83,690

Greatest Common Factor of Numerators i.e. GCF of 71,83,690 is 1 .

LCM of Denominators means LCM of 711,675,440 as per the given fractions.

LCM of 711,675,440 is 4692600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,83,690

GCF of Fractions 71/711,83/675,690/440 is 1/4692600

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

Greatest Common Factor of 71,83,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,83,690 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 71,83,690 . The biggest common factor number is the GCF number.
So the greatest common factor 71,83,690 is 1.

Lets's calculate LCM of 711,675,440

3 711, 675, 440
3 237, 225, 440
5 79, 75, 440
79, 15, 88

∴ So the LCM of the given numbers is 3 x 3 x 5 x 79 x 15 x 88 = 4692600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4692600

Therefore, the GCF of Fractions 71/711,83/675,690/440 is 1/4692600

Least Common Multiple of 711,675,440 with GCF Formula

Least Common Multiple of 711,675,440 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 711,675,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,675,440) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(711,675,440) x common factors =1 x 45 = 45

LCM(711,675,440) = ( 711 × 675 × 440 ) / 45

LCM(711,675,440) = 211167000 / 45

LCM(711,675,440) = 4692600


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 71/711, 83/675, 690/440

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 71/711, 83/675, 690/440?

Answer: GCF of Numerators as per given numbers 71/711, 83/675, 690/440 is

GCF of Numerators i.e. for 71,83,690 is 1

LCM of denominators i.e. for 711,675,440 is 4692600.

Thus, GCF of Fractions is 1/4692600.Finally, GCF of Fractions for 71/711, 83/675, 690/440 is 1/4692600.