Greatest Common Factor of 7145/16, 5224/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7145/16, 5224/839

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 7145/16,5224/839

Given fractions are 7145/16,5224/839

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 7145,5224

Greatest Common Factor of Numerators i.e. GCF of 7145,5224 is 1 .

LCM of Denominators means LCM of 16,839 as per the given fractions.

LCM of 16,839 is 13424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7145,5224

GCF of Fractions 7145/16,5224/839 is 1/13424

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

Greatest Common Factor of 7145,5224 By Matching Biggest Common Factor Method

Greatest Common Factor of 7145,5224 By Matching Biggest Common Factor Method

Factors of 7145

List of positive integer factors of 7145 that divides 7145 without a remainder.

1,5,1429,7145

Factors of 5224

List of positive integer factors of 5224 that divides 5224 without a remainder.

1,2,4,8,653,1306,2612,5224

Greatest Common Factor

We found the factors 7145,5224 . The biggest common factor number is the GCF number.
So the greatest common factor 7145,5224 is 1.

Lets's calculate LCM of 16,839

Given numbers has no common factors except 1. So, there LCM is their product i.e 13424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13424

Therefore, the GCF of Fractions 7145/16,5224/839 is 1/13424

Least Common Multiple of 16,839 with GCF Formula

Least Common Multiple of 16,839 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 16,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,839) = 1

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

GCF(16,839) x common factors =1 x 1 = 1

LCM(16,839) = ( 16 × 839 ) / 1

LCM(16,839) = 13424 / 1

LCM(16,839) = 13424


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 7145/16, 5224/839

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 7145/16, 5224/839?

Answer: GCF of Numerators as per given numbers 7145/16, 5224/839 is

GCF of Numerators i.e. for 7145,5224 is 1

LCM of denominators i.e. for 16,839 is 13424.

Thus, GCF of Fractions is 1/13424.Finally, GCF of Fractions for 7145/16, 5224/839 is 1/13424.