Greatest Common Factor of 8711/83, 3474/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8711/83, 3474/509

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 8711/83,3474/509

Given fractions are 8711/83,3474/509

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 8711,3474

Greatest Common Factor of Numerators i.e. GCF of 8711,3474 is 1 .

LCM of Denominators means LCM of 83,509 as per the given fractions.

LCM of 83,509 is 42247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8711,3474

GCF of Fractions 8711/83,3474/509 is 1/42247

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

Greatest Common Factor of 8711,3474 By Matching Biggest Common Factor Method

Greatest Common Factor of 8711,3474 By Matching Biggest Common Factor Method

Factors of 8711

List of positive integer factors of 8711 that divides 8711 without a remainder.

1,31,281,8711

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Greatest Common Factor

We found the factors 8711,3474 . The biggest common factor number is the GCF number.
So the greatest common factor 8711,3474 is 1.

Lets's calculate LCM of 83,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 42247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42247

Therefore, the GCF of Fractions 8711/83,3474/509 is 1/42247

Least Common Multiple of 83,509 with GCF Formula

Least Common Multiple of 83,509 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 83,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,509) = 1

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

GCF(83,509) x common factors =1 x 1 = 1

LCM(83,509) = ( 83 × 509 ) / 1

LCM(83,509) = 42247 / 1

LCM(83,509) = 42247


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 8711/83, 3474/509

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 8711/83, 3474/509?

Answer: GCF of Numerators as per given numbers 8711/83, 3474/509 is

GCF of Numerators i.e. for 8711,3474 is 1

LCM of denominators i.e. for 83,509 is 42247.

Thus, GCF of Fractions is 1/42247.Finally, GCF of Fractions for 8711/83, 3474/509 is 1/42247.