Greatest Common Factor of 8720/497, 3488/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8720/497, 3488/891

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 8720/497,3488/891

Given fractions are 8720/497,3488/891

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 8720,3488

Greatest Common Factor of Numerators i.e. GCF of 8720,3488 is 1744 .

LCM of Denominators means LCM of 497,891 as per the given fractions.

LCM of 497,891 is 442827 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8720,3488

GCF of Fractions 8720/497,3488/891 is 1744/442827

2 8720, 3488
2 4360, 1744
2 2180, 872
2 1090, 436
109 545, 218
5, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 109 = 1744

Greatest Common Factor of 8720,3488 By Matching Biggest Common Factor Method

Greatest Common Factor of 8720,3488 By Matching Biggest Common Factor Method

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1,2,4,8,16,32,109,218,436,872,1744,3488

Greatest Common Factor

We found the factors 8720,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,3488 is 1744.

Lets's calculate LCM of 497,891

Given numbers has no common factors except 1. So, there LCM is their product i.e 442827

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1744/442827

Therefore, the GCF of Fractions 8720/497,3488/891 is 1744/442827

Least Common Multiple of 497,891 with GCF Formula

Least Common Multiple of 497,891 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 497,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,891) = 1

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

GCF(497,891) x common factors =1 x 1 = 1

LCM(497,891) = ( 497 × 891 ) / 1

LCM(497,891) = 442827 / 1

LCM(497,891) = 442827


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 8720/497, 3488/891

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 8720/497, 3488/891?

Answer: GCF of Numerators as per given numbers 8720/497, 3488/891 is

GCF of Numerators i.e. for 8720,3488 is 1744

LCM of denominators i.e. for 497,891 is 442827.

Thus, GCF of Fractions is 1744/442827.Finally, GCF of Fractions for 8720/497, 3488/891 is 1744/442827.