Greatest Common Factor of 8499/520, 1919/2548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8499/520, 1919/2548

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 8499/520,1919/2548

Given fractions are 8499/520,1919/2548

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 8499,1919

Greatest Common Factor of Numerators i.e. GCF of 8499,1919 is 1 .

LCM of Denominators means LCM of 520,2548 as per the given fractions.

LCM of 520,2548 is 25480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8499,1919

GCF of Fractions 8499/520,1919/2548 is 1/25480

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

Greatest Common Factor of 8499,1919 By Matching Biggest Common Factor Method

Greatest Common Factor of 8499,1919 By Matching Biggest Common Factor Method

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Factors of 1919

List of positive integer factors of 1919 that divides 1919 without a remainder.

1,19,101,1919

Greatest Common Factor

We found the factors 8499,1919 . The biggest common factor number is the GCF number.
So the greatest common factor 8499,1919 is 1.

Lets's calculate LCM of 520,2548

2 520, 2548
2 260, 1274
13 130, 637
10, 49

∴ So the LCM of the given numbers is 2 x 2 x 13 x 10 x 49 = 25480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25480

Therefore, the GCF of Fractions 8499/520,1919/2548 is 1/25480

Least Common Multiple of 520,2548 with GCF Formula

Least Common Multiple of 520,2548 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 520,2548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,2548) = 52

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

GCF(520,2548) x common factors =52 x 1 = 52

LCM(520,2548) = ( 520 × 2548 ) / 52

LCM(520,2548) = 1324960 / 52

LCM(520,2548) = 25480


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 8499/520, 1919/2548

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 8499/520, 1919/2548?

Answer: GCF of Numerators as per given numbers 8499/520, 1919/2548 is

GCF of Numerators i.e. for 8499,1919 is 1

LCM of denominators i.e. for 520,2548 is 25480.

Thus, GCF of Fractions is 1/25480.Finally, GCF of Fractions for 8499/520, 1919/2548 is 1/25480.