Greatest Common Factor of 2499/428, 9989/3208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2499/428, 9989/3208

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 2499/428,9989/3208

Given fractions are 2499/428,9989/3208

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 2499,9989

Greatest Common Factor of Numerators i.e. GCF of 2499,9989 is 7 .

LCM of Denominators means LCM of 428,3208 as per the given fractions.

LCM of 428,3208 is 343256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2499,9989

GCF of Fractions 2499/428,9989/3208 is 7/343256

7 2499, 9989
357, 1427

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2499,9989 By Matching Biggest Common Factor Method

Greatest Common Factor of 2499,9989 By Matching Biggest Common Factor Method

Factors of 2499

List of positive integer factors of 2499 that divides 2499 without a remainder.

1,3,7,17,21,49,51,119,147,357,833,2499

Factors of 9989

List of positive integer factors of 9989 that divides 9989 without a remainder.

1,7,1427,9989

Greatest Common Factor

We found the factors 2499,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 2499,9989 is 7.

Lets's calculate LCM of 428,3208

2 428, 3208
2 214, 1604
107, 802

∴ So the LCM of the given numbers is 2 x 2 x 107 x 802 = 343256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/343256

Therefore, the GCF of Fractions 2499/428,9989/3208 is 7/343256

Least Common Multiple of 428,3208 with GCF Formula

Least Common Multiple of 428,3208 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 428,3208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,3208) = 4

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

GCF(428,3208) x common factors =4 x 1 = 4

LCM(428,3208) = ( 428 × 3208 ) / 4

LCM(428,3208) = 1373024 / 4

LCM(428,3208) = 343256


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 2499/428, 9989/3208

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 2499/428, 9989/3208?

Answer: GCF of Numerators as per given numbers 2499/428, 9989/3208 is

GCF of Numerators i.e. for 2499,9989 is 7

LCM of denominators i.e. for 428,3208 is 343256.

Thus, GCF of Fractions is 7/343256.Finally, GCF of Fractions for 2499/428, 9989/3208 is 7/343256.