Greatest Common Factor of 3500/534, 8441/5489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3500/534, 8441/5489

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 3500/534,8441/5489

Given fractions are 3500/534,8441/5489

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 3500,8441

Greatest Common Factor of Numerators i.e. GCF of 3500,8441 is 1 .

LCM of Denominators means LCM of 534,5489 as per the given fractions.

LCM of 534,5489 is 2931126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3500,8441

GCF of Fractions 3500/534,8441/5489 is 1/2931126

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

Greatest Common Factor of 3500,8441 By Matching Biggest Common Factor Method

Greatest Common Factor of 3500,8441 By Matching Biggest Common Factor Method

Factors of 3500

List of positive integer factors of 3500 that divides 3500 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500

Factors of 8441

List of positive integer factors of 8441 that divides 8441 without a remainder.

1,23,367,8441

Greatest Common Factor

We found the factors 3500,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 3500,8441 is 1.

Lets's calculate LCM of 534,5489

Given numbers has no common factors except 1. So, there LCM is their product i.e 2931126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2931126

Therefore, the GCF of Fractions 3500/534,8441/5489 is 1/2931126

Least Common Multiple of 534,5489 with GCF Formula

Least Common Multiple of 534,5489 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 534,5489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,5489) = 1

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

GCF(534,5489) x common factors =1 x 1 = 1

LCM(534,5489) = ( 534 × 5489 ) / 1

LCM(534,5489) = 2931126 / 1

LCM(534,5489) = 2931126


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 3500/534, 8441/5489

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 3500/534, 8441/5489?

Answer: GCF of Numerators as per given numbers 3500/534, 8441/5489 is

GCF of Numerators i.e. for 3500,8441 is 1

LCM of denominators i.e. for 534,5489 is 2931126.

Thus, GCF of Fractions is 1/2931126.Finally, GCF of Fractions for 3500/534, 8441/5489 is 1/2931126.